1396934002800 has 1980 divisors, whose sum is σ = 6287885134416. Its totient is φ = 296284262400.

The previous prime is 1396934002787. The next prime is 1396934002837. The reversal of 1396934002800 is 82004396931.

It is a happy number.

1396934002800 is a `hidden beast` number, since 139 + 6 + 93 + 400 + 28 + 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 395 ways as a sum of consecutive naturals, for example, 19675126765 + ... + 19675126835.

Almost surely, 2^{1396934002800} is an apocalyptic number.

1396934002800 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 1396934002800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3143942567208).

1396934002800 is an abundant number, since it is smaller than the sum of its proper divisors (4890951131616).

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

1396934002800 is an equidigital number, since it uses as much as digits as its factorization.

1396934002800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 1396934002800 in words is "one trillion, three hundred ninety-six billion, nine hundred thirty-four million, two thousand, eight hundred".