1396416866400 has 360 divisors, whose sum is σ = 5313877796304. Its totient is φ = 356187110400.

The previous prime is 1396416866371. The next prime is 1396416866443. The reversal of 1396416866400 is 46686146931.

1396416866400 is a `hidden beast` number, since 1 + 3 + 96 + 416 + 86 + 64 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 59 ways as a sum of consecutive naturals, for example, 1021930 + ... + 1958870.

Almost surely, 2^{1396416866400} is an apocalyptic number.

1396416866400 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 1396416866400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2656938898152).

1396416866400 is an abundant number, since it is smaller than the sum of its proper divisors (3917460929904).

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

1396416866400 is a wasteful number, since it uses less digits than its factorization.

1396416866400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936996 (or 936974 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 1396416866400 in words is "one trillion, three hundred ninety-six billion, four hundred sixteen million, eight hundred sixty-six thousand, four hundred".