1957481138400 has 288 divisors, whose sum is σ = 6752085026400. Its totient is φ = 491701862400.

The previous prime is 1957481138399. The next prime is 1957481138413. The reversal of 1957481138400 is 48311847591.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2510616 + ... + 3196584.

It is an arithmetic number, because the mean of its divisors is an integer number (23444739675).

Almost surely, 2^{1957481138400} is an apocalyptic number.

1957481138400 is a gapful number since it is divisible by the number (10) 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 1957481138400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3376042513200).

1957481138400 is an abundant number, since it is smaller than the sum of its proper divisors (4794603888000).

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

1957481138400 is a wasteful number, since it uses less digits than its factorization.

1957481138400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686062 (or 686049 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The spelling of 1957481138400 in words is "one trillion, nine hundred fifty-seven billion, four hundred eighty-one million, one hundred thirty-eight thousand, four hundred".