1357406640 has 320 divisors, whose sum is σ = 4949683200. Its totient is φ = 341231616.

The previous prime is 1357406629. The next prime is 1357406653. The reversal of 1357406640 is 466047531.

It is a happy number.

1357406640 is a `hidden beast` number, since 1 + 3 + 5 + 7 + 4 + 0 + 6 + 640 = 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 = 1357406595 and 1357406604.

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, 4421367 + ... + 4421673.

It is an arithmetic number, because the mean of its divisors is an integer number (15467760).

Almost surely, 2^1357406640 is an apocalyptic number.

1357406640 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 1357406640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2474841600).

1357406640 is an abundant number, since it is smaller than the sum of its proper divisors (3592276560).

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

1357406640 is a wasteful number, since it uses less digits than its factorization.

1357406640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 1357406640 is about 36842.9998778601. Note that the first 3 decimals coincide. The cubic root of 1357406640 is about 1107.2269714756.

The spelling of 1357406640 in words is "one billion, three hundred fifty-seven million, four hundred six thousand, six hundred forty".