1396728662400 has 192 divisors, whose sum is σ = 5111639240400. Its totient is φ = 372460953600.

The previous prime is 1396728662387. The next prime is 1396728662419. The reversal of 1396728662400 is 42668276931.

1396728662400 is a `hidden beast` number, since 1 + 3 + 9 + 6 + 7 + 2 + 8 + 6 + 624 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7996521 + ... + 8169320.

Almost surely, 2^{1396728662400} is an apocalyptic number.

1396728662400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1396728662400 is an abundant number, since it is smaller than the sum of its proper divisors (3714910578000).

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

1396728662400 is a wasteful number, since it uses less digits than its factorization.

1396728662400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16165874 (or 16165851 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 1396728662400 in words is "one trillion, three hundred ninety-six billion, seven hundred twenty-eight million, six hundred sixty-two thousand, four hundred".