42057072720762 has 256 divisors, whose sum is σ = 99643254036480. Its totient is φ = 11696519577600.

The previous prime is 42057072720653. The next prime is 42057072720799. The reversal of 42057072720762 is 26702727075024.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8423204538 + ... + 8423209530.

It is an arithmetic number, because the mean of its divisors is an integer number (389231461080).

Almost surely, 2^{42057072720762} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42057072720762, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49821627018240).

42057072720762 is an abundant number, since it is smaller than the sum of its proper divisors (57586181315718).

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

42057072720762 is a wasteful number, since it uses less digits than its factorization.

42057072720762 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6189.

The product of its (nonzero) digits is 4609920, while the sum is 51.

Adding to 42057072720762 its reverse (26702727075024), we get a palindrome (68759799795786).

The spelling of 42057072720762 in words is "forty-two trillion, fifty-seven billion, seventy-two million, seven hundred twenty thousand, seven hundred sixty-two".