42443401350240 has 576 divisors, whose sum is σ = 171686511360000. Its totient is φ = 9433320652800.

The previous prime is 42443401350211. The next prime is 42443401350263. The reversal of 42443401350240 is 4205310434424.

42443401350240 is a `hidden beast` number, since 4 + 2 + 4 + 4 + 3 + 401 + 3 + 5 + 0 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42443401350195 and 42443401350204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7055136 + ... + 11604384.

It is an arithmetic number, because the mean of its divisors is an integer number (298066860000).

Almost surely, 2^{42443401350240} is an apocalyptic number.

42443401350240 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 42443401350240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85843255680000).

42443401350240 is an abundant number, since it is smaller than the sum of its proper divisors (129243110009760).

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

42443401350240 is a wasteful number, since it uses less digits than its factorization.

42443401350240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4549331 (or 4549320 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 42443401350240 its reverse (4205310434424), we get a palindrome (46648711784664).

The spelling of 42443401350240 in words is "forty-two trillion, four hundred forty-three billion, four hundred one million, three hundred fifty thousand, two hundred forty".