40247997963264 has 1584 divisors, whose sum is σ = 155869822058496. Its totient is φ = 10271187763200.

The previous prime is 40247997963241. The next prime is 40247997963293. The reversal of 40247997963264 is 46236979974204.

It is a happy number.

40247997963264 is a `hidden beast` number, since 4 + 0 + 2 + 479 + 9 + 7 + 96 + 3 + 2 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 40247997963192 and 40247997963201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4913681409 + ... + 4913689599.

Almost surely, 2^{40247997963264} 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 40247997963264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77934911029248).

40247997963264 is an abundant number, since it is smaller than the sum of its proper divisors (115621824095232).

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

40247997963264 is a wasteful number, since it uses less digits than its factorization.

40247997963264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8284 (or 8247 counting only the distinct ones).

The product of its (nonzero) digits is 987614208, while the sum is 72.

The spelling of 40247997963264 in words is "forty trillion, two hundred forty-seven billion, nine hundred ninety-seven million, nine hundred sixty-three thousand, two hundred sixty-four".