42957000960 has 144 divisors (see below), whose sum is σ = 138609494016. Its totient is φ = 11337007104.

The previous prime is 42957000959. The next prime is 42957000973. The reversal of 42957000960 is 6900075924.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 314817 + ... + 430143.

Almost surely, 2^42957000960 is an apocalyptic number.

42957000960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42957000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69304747008).

42957000960 is an abundant number, since it is smaller than the sum of its proper divisors (95652493056).

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

42957000960 is a wasteful number, since it uses less digits than its factorization.

42957000960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115448 (or 115434 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The spelling of 42957000960 in words is "forty-two billion, nine hundred fifty-seven million, nine hundred sixty", and thus it is an aban number.