42201158681400 has 96 divisors (see below), whose sum is σ = 135043707840000. Its totient is φ = 10890621590400.

The previous prime is 42201158681299. The next prime is 42201158681467. The reversal of 42201158681400 is 418685110224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1134421150 + ... + 1134458349.

It is an arithmetic number, because the mean of its divisors is an integer number (1406705290000).

Almost surely, 2^{42201158681400} is an apocalyptic number.

42201158681400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42201158681400 is an abundant number, since it is smaller than the sum of its proper divisors (92842549158600).

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

42201158681400 is a wasteful number, since it uses less digits than its factorization.

42201158681400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2268879549 (or 2268879540 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The spelling of 42201158681400 in words is "forty-two trillion, two hundred one billion, one hundred fifty-eight million, six hundred eighty-one thousand, four hundred".