42201553200000 has 384 divisors, whose sum is σ = 140189517296640. Its totient is φ = 11247632640000.

The previous prime is 42201553199999. The next prime is 42201553200007. The reversal of 42201553200000 is 235510224.

It is a tau number, because it is divible by the number of its divisors (384).

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 (42201553200007) 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, 2475591477 + ... + 2475608523.

It is an arithmetic number, because the mean of its divisors is an integer number (365076867960).

Almost surely, 2^{42201553200000} is an apocalyptic number.

42201553200000 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 42201553200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70094758648320).

42201553200000 is an abundant number, since it is smaller than the sum of its proper divisors (97987964096640).

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

42201553200000 is an equidigital number, since it uses as much as digits as its factorization.

42201553200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19152 (or 19120 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 42201553200000 its reverse (235510224), we get a palindrome (42201788710224).

The spelling of 42201553200000 in words is "forty-two trillion, two hundred one billion, five hundred fifty-three million, two hundred thousand".