1321386393600 has 2160 divisors, whose sum is σ = 6067357914240. Its totient is φ = 276037632000.

The previous prime is 1321386393599. The next prime is 1321386393611. The reversal of 1321386393600 is 63936831231.

1321386393600 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 3 + 8 + 6 + 39 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13083033550 + ... + 13083033650.

Almost surely, 2^{1321386393600} is an apocalyptic number.

1321386393600 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 1321386393600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3033678957120).

1321386393600 is an abundant number, since it is smaller than the sum of its proper divisors (4745971520640).

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

1321386393600 is a wasteful number, since it uses less digits than its factorization.

1321386393600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 131 counting only the distinct ones).

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

The spelling of 1321386393600 in words is "one trillion, three hundred twenty-one billion, three hundred eighty-six million, three hundred ninety-three thousand, six hundred".