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4032042421200 = 2435243129160527
BaseRepresentation
bin111010101011001000011…
…101001100101111010000
3112021110101222011100110220
4322223020131030233100
51012030110324434300
612324143354153040
7564206525044533
oct72531035145720
915243358140426
104032042421200
111314a85916a02
1255152aa22780
132332b236b791
14dd21ab26a1a
156ed39075da0
hex3aac874cbd0

4032042421200 has 240 divisors, whose sum is σ = 13226803239936. Its totient is φ = 1049375577600.

The previous prime is 4032042421193. The next prime is 4032042421207. The reversal of 4032042421200 is 21242402304.

4032042421200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4032042421193) and next prime (4032042421207).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4032042421207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66585337 + ... + 66645863.

Almost surely, 24032042421200 is an apocalyptic number.

4032042421200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4032042421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6613401619968).

4032042421200 is an abundant number, since it is smaller than the sum of its proper divisors (9194760818736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4032042421200 is a wasteful number, since it uses less digits than its factorization.

4032042421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61882 (or 61871 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 4032042421200 its reverse (21242402304), we get a palindrome (4053284823504).

The spelling of 4032042421200 in words is "four trillion, thirty-two billion, forty-two million, four hundred twenty-one thousand, two hundred".