42134357120 has 64 divisors (see below), whose sum is σ = 100780243200. Its totient is φ = 16844909568.

The previous prime is 42134357113. The next prime is 42134357137. The reversal of 42134357120 is 2175343124.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1281041 + ... + 1313519.

It is an arithmetic number, because the mean of its divisors is an integer number (1574691300).

Almost surely, 2^42134357120 is an apocalyptic number.

42134357120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42134357120 is an abundant number, since it is smaller than the sum of its proper divisors (58645886080).

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

42134357120 is a wasteful number, since it uses less digits than its factorization.

42134357120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34525 (or 34513 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The spelling of 42134357120 in words is "forty-two billion, one hundred thirty-four million, three hundred fifty-seven thousand, one hundred twenty".