1957201210440 has 128 divisors (see below), whose sum is σ = 7456004640000. Its totient is φ = 447360274944.

The previous prime is 1957201210429. The next prime is 1957201210441. The reversal of 1957201210440 is 440121027591.

1957201210440 is a `hidden beast` number, since 1 + 9 + 5 + 7 + 201 + 2 + 1 + 0 + 440 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1957201210395 and 1957201210404.

It is not an unprimeable number, because it can be changed into a prime (1957201210441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129436965 + ... + 129452084.

It is an arithmetic number, because the mean of its divisors is an integer number (58250036250).

Almost surely, 2^{1957201210440} is an apocalyptic number.

1957201210440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1957201210440 is an abundant number, since it is smaller than the sum of its proper divisors (5498803429560).

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

1957201210440 is a wasteful number, since it uses less digits than its factorization.

1957201210440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258889076 (or 258889066 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 1957201210440 in words is "one trillion, nine hundred fifty-seven billion, two hundred one million, two hundred ten thousand, four hundred forty".