42075603555264 has 280 divisors, whose sum is σ = 129064212076800. Its totient is φ = 13537578055680.

The previous prime is 42075603555257. The next prime is 42075603555317. The reversal of 42075603555264 is 46255530657024.

42075603555264 is a `hidden beast` number, since 4 + 2 + 0 + 7 + 5 + 60 + 3 + 55 + 526 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 42075603555264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 532300257 + ... + 532379295.

It is an arithmetic number, because the mean of its divisors is an integer number (460943614560).

Almost surely, 2^{42075603555264} 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 42075603555264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64532106038400).

42075603555264 is an abundant number, since it is smaller than the sum of its proper divisors (86988608521536).

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

42075603555264 is a wasteful number, since it uses less digits than its factorization.

42075603555264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82633 (or 82614 counting only the distinct ones).

The product of its (nonzero) digits is 30240000, while the sum is 54.

The spelling of 42075603555264 in words is "forty-two trillion, seventy-five billion, six hundred three million, five hundred fifty-five thousand, two hundred sixty-four".