42288901795296 has 96 divisors (see below), whose sum is σ = 132830524905120. Its totient is φ = 13011969779712.

The previous prime is 42288901795247. The next prime is 42288901795297. The reversal of 42288901795296 is 69259710988224.

42288901795296 is a `hidden beast` number, since 4 + 2 + 2 + 8 + 8 + 90 + 1 + 7 + 9 + 529 + 6 = 666.

42288901795296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42288901795297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1882507545 + ... + 1882530008.

It is an arithmetic number, because the mean of its divisors is an integer number (1383651301095).

Almost surely, 2^{42288901795296} is an apocalyptic number.

It is an amenable number.

42288901795296 is an abundant number, since it is smaller than the sum of its proper divisors (90541623109824).

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

42288901795296 is a wasteful number, since it uses less digits than its factorization.

42288901795296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3765037585 (or 3765037571 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 42288901795296 in words is "forty-two trillion, two hundred eighty-eight billion, nine hundred one million, seven hundred ninety-five thousand, two hundred ninety-six".