1356400796418 has 16 divisors (see below), whose sum is σ = 3014223992160. Its totient is φ = 452133598788.

The previous prime is 1356400796407. The next prime is 1356400796473. The reversal of 1356400796418 is 8146970046531.

1356400796418 is a `hidden beast` number, since 1 + 3 + 564 + 0 + 0 + 7 + 9 + 64 + 18 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54), and also a Moran number because the ratio is a prime number: 25118533267 = 1356400796418 / (1 + 3 + 5 + 6 + 4 + 0 + 0 + 7 + 9 + 6 + 4 + 1 + 8).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12559266580 + ... + 12559266687.

It is an arithmetic number, because the mean of its divisors is an integer number (188388999510).

Almost surely, 2^{1356400796418} is an apocalyptic number.

1356400796418 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1356400796418 is an abundant number, since it is smaller than the sum of its proper divisors (1657823195742).

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

1356400796418 is a wasteful number, since it uses less digits than its factorization.

1356400796418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25118533278 (or 25118533272 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 1356400796418 in words is "one trillion, three hundred fifty-six billion, four hundred million, seven hundred ninety-six thousand, four hundred eighteen".