1396946304000 has 2816 divisors, whose sum is σ = 6180223795200. Its totient is φ = 307888128000.

The previous prime is 1396946303999. The next prime is 1396946304023. The reversal of 1396946304000 is 4036496931.

1396946304000 is a `hidden beast` number, since 1 + 3 + 9 + 6 + 9 + 4 + 630 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 23677055971 + ... + 23677056029.

Almost surely, 2^{1396946304000} is an apocalyptic number.

1396946304000 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 1396946304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3090111897600).

1396946304000 is an abundant number, since it is smaller than the sum of its proper divisors (4783277491200).

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

1396946304000 is a wasteful number, since it uses less digits than its factorization.

1396946304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 1396946304000 in words is "one trillion, three hundred ninety-six billion, nine hundred forty-six million, three hundred four thousand".