42265009676736 has 2688 divisors, whose sum is σ = 172043672371200. Its totient is φ = 9870336000000.

The previous prime is 42265009676723. The next prime is 42265009676777. The reversal of 42265009676736 is 63767690056224.

42265009676736 is a `hidden beast` number, since 4 + 2 + 2 + 6 + 500 + 9 + 67 + 67 + 3 + 6 = 666.

It is a super-2 number, since 2×42265009676736² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 168386492611 + ... + 168386492861.

It is an arithmetic number, because the mean of its divisors is an integer number (64004342400).

Almost surely, 2^{42265009676736} 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 42265009676736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86021836185600).

42265009676736 is an abundant number, since it is smaller than the sum of its proper divisors (129778662694464).

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

42265009676736 is a wasteful number, since it uses less digits than its factorization.

42265009676736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 63.

The spelling of 42265009676736 in words is "forty-two trillion, two hundred sixty-five billion, nine million, six hundred seventy-six thousand, seven hundred thirty-six".