1356304415400 has 432 divisors, whose sum is σ = 5053528116000. Its totient is φ = 325722566400.

The previous prime is 1356304415387. The next prime is 1356304415443. The reversal of 1356304415400 is 45144036531.

1356304415400 is a `hidden beast` number, since 1 + 3 + 5 + 630 + 4 + 4 + 15 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 23275501 + ... + 23333699.

It is an arithmetic number, because the mean of its divisors is an integer number (11697981750).

Almost surely, 2^{1356304415400} is an apocalyptic number.

1356304415400 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 1356304415400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2526764058000).

1356304415400 is an abundant number, since it is smaller than the sum of its proper divisors (3697223700600).

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

1356304415400 is a wasteful number, since it uses less digits than its factorization.

1356304415400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58350 (or 58327 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 1356304415400 in words is "one trillion, three hundred fifty-six billion, three hundred four million, four hundred fifteen thousand, four hundred".