1357957693440 has 864 divisors, whose sum is σ = 5167404758880. Its totient is φ = 328363671552.

The previous prime is 1357957693439. The next prime is 1357957693483. The reversal of 1357957693440 is 443967597531.

It is a happy number.

1357957693440 is a `hidden beast` number, since 1 + 3 + 57 + 9 + 57 + 6 + 93 + 440 = 666.

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, 2907832087 + ... + 2907832553.

It is an arithmetic number, because the mean of its divisors is an integer number (5980792545).

Almost surely, 2^{1357957693440} is an apocalyptic number.

1357957693440 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 1357957693440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2583702379440).

1357957693440 is an abundant number, since it is smaller than the sum of its proper divisors (3809447065440).

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

1357957693440 is an equidigital number, since it uses as much as digits as its factorization.

1357957693440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 85730400, while the sum is 63.

The spelling of 1357957693440 in words is "one trillion, three hundred fifty-seven billion, nine hundred fifty-seven million, six hundred ninety-three thousand, four hundred forty".