1357668400 has 90 divisors (see below), whose sum is σ = 3585410276. Its totient is φ = 493680000.

The previous prime is 1357668397. The next prime is 1357668401. The reversal of 1357668400 is 48667531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1357668401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 34375 + ... + 62425.

Almost surely, 2^1357668400 is an apocalyptic number.

1357668400 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 1357668400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792705138).

1357668400 is an abundant number, since it is smaller than the sum of its proper divisors (2227741876).

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

1357668400 is a wasteful number, since it uses less digits than its factorization.

1357668400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28091 (or 28069 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 1357668400 is about 36846.5520775011. The cubic root of 1357668400 is about 1107.2981388265.

The spelling of 1357668400 in words is "one billion, three hundred fifty-seven million, six hundred sixty-eight thousand, four hundred".