42240506913216 has 896 divisors, whose sum is σ = 133233932160000. Its totient is φ = 13099011932160.

The previous prime is 42240506913193. The next prime is 42240506913217. The reversal of 42240506913216 is 61231960504224.

42240506913216 is a `hidden beast` number, since 4 + 2 + 2 + 4 + 0 + 506 + 9 + 132 + 1 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42240506913217) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 100812665455 + ... + 100812665873.

It is an arithmetic number, because the mean of its divisors is an integer number (148698585000).

Almost surely, 2^{42240506913216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42240506913216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66616966080000).

42240506913216 is an abundant number, since it is smaller than the sum of its proper divisors (90993425246784).

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

42240506913216 is a wasteful number, since it uses less digits than its factorization.

42240506913216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 42240506913216 in words is "forty-two trillion, two hundred forty billion, five hundred six million, nine hundred thirteen thousand, two hundred sixteen".