42957976320 has 1152 divisors, whose sum is σ = 183948226560. Its totient is φ = 9289728000.

The previous prime is 42957976307. The next prime is 42957976333. The reversal of 42957976320 is 2367975924.

42957976320 is a `hidden beast` number, since 4 + 2 + 9 + 579 + 7 + 63 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42957976307) and next prime (42957976333).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 605041885 + ... + 605041955.

It is an arithmetic number, because the mean of its divisors is an integer number (159677280).

Almost surely, 2^42957976320 is an apocalyptic number.

42957976320 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 42957976320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91974113280).

42957976320 is an abundant number, since it is smaller than the sum of its proper divisors (140990250240).

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

42957976320 is a wasteful number, since it uses less digits than its factorization.

42957976320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 42957976320 in words is "forty-two billion, nine hundred fifty-seven million, nine hundred seventy-six thousand, three hundred twenty".