42201157951752 has 128 divisors (see below), whose sum is σ = 115888026240000. Its totient is φ = 12746838170880.

The previous prime is 42201157951741. The next prime is 42201157951789. The reversal of 42201157951752 is 25715975110224.

It is a junction number, because it is equal to n+sod(n) for n = 42201157951695 and 42201157951704.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 484197874 + ... + 484285022.

It is an arithmetic number, because the mean of its divisors is an integer number (905375205000).

Almost surely, 2^{42201157951752} is an apocalyptic number.

It is an amenable number.

42201157951752 is an abundant number, since it is smaller than the sum of its proper divisors (73686868288248).

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

42201157951752 is a wasteful number, since it uses less digits than its factorization.

42201157951752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133371 (or 133367 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 51.

The spelling of 42201157951752 in words is "forty-two trillion, two hundred one billion, one hundred fifty-seven million, nine hundred fifty-one thousand, seven hundred fifty-two".