1396865433600 has 1632 divisors, whose sum is σ = 6334692887040. Its totient is φ = 293873909760.

The previous prime is 1396865433541. The next prime is 1396865433637. The reversal of 1396865433600 is 63345686931.

1396865433600 is a `hidden beast` number, since 1 + 3 + 9 + 68 + 6 + 543 + 36 + 0 + 0 = 666.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4025548627 + ... + 4025548973.

Almost surely, 2^{1396865433600} is an apocalyptic number.

1396865433600 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 1396865433600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3167346443520).

1396865433600 is an abundant number, since it is smaller than the sum of its proper divisors (4937827453440).

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

1396865433600 is an equidigital number, since it uses as much as digits as its factorization.

1396865433600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 1396865433600 in words is "one trillion, three hundred ninety-six billion, eight hundred sixty-five million, four hundred thirty-three thousand, six hundred".