1357655040 has 704 divisors, whose sum is σ = 5848197120. Its totient is φ = 291962880.

The previous prime is 1357655011. The next prime is 1357655069. The reversal of 1357655040 is 405567531.

1357655040 is a `hidden beast` number, since 1 + 35 + 76 + 550 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1357655011) and next prime (1357655069).

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 = 1357654986 and 1357655004.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22256610 + ... + 22256670.

Almost surely, 2^1357655040 is an apocalyptic number.

1357655040 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 1357655040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2924098560).

1357655040 is an abundant number, since it is smaller than the sum of its proper divisors (4490542080).

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

1357655040 is a wasteful number, since it uses less digits than its factorization.

1357655040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 1357655040 is about 36846.3707846512. The cubic root of 1357655040 is about 1107.2945067291.

The spelling of 1357655040 in words is "one billion, three hundred fifty-seven million, six hundred fifty-five thousand, forty".