1957408798464 has 1296 divisors, whose sum is σ = 7178205146112. Its totient is φ = 510015356928.

The previous prime is 1957408798403. The next prime is 1957408798481. The reversal of 1957408798464 is 4648978047591.

1957408798464 is a `hidden beast` number, since 1 + 9 + 5 + 74 + 0 + 8 + 7 + 98 + 464 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 1957408798392 and 1957408798401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5247744582 + ... + 5247744954.

Almost surely, 2^{1957408798464} is an apocalyptic number.

1957408798464 is a gapful number since it is divisible by the number (14) 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 1957408798464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3589102573056).

1957408798464 is an abundant number, since it is smaller than the sum of its proper divisors (5220796347648).

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

1957408798464 is a wasteful number, since it uses less digits than its factorization.

1957408798464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 1957408798464 in words is "one trillion, nine hundred fifty-seven billion, four hundred eight million, seven hundred ninety-eight thousand, four hundred sixty-four".