1957014432 has 240 divisors, whose sum is σ = 6362338752. Its totient is φ = 586967040.

The previous prime is 1957014431. The next prime is 1957014439. The reversal of 1957014432 is 2344107591.

1957014432 is a `hidden beast` number, since 19 + 570 + 1 + 44 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1957014431) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1012507 + ... + 1014437.

Almost surely, 2^1957014432 is an apocalyptic number.

1957014432 is a gapful number since it is divisible by the number (12) 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 1957014432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3181169376).

1957014432 is an abundant number, since it is smaller than the sum of its proper divisors (4405324320).

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

1957014432 is a wasteful number, since it uses less digits than its factorization.

1957014432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1993 (or 1976 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1957014432 is about 44238.1558385971. The cubic root of 1957014432 is about 1250.8291953198.

The spelling of 1957014432 in words is "one billion, nine hundred fifty-seven million, fourteen thousand, four hundred thirty-two".