1330600361400 has 288 divisors, whose sum is σ = 4509600176640. Its totient is φ = 351578465280.

The previous prime is 1330600361399. The next prime is 1330600361459. The reversal of 1330600361400 is 41630060331.

1330600361400 is a `hidden beast` number, since 13 + 3 + 0 + 600 + 3 + 6 + 1 + 40 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 200478882 + ... + 200485518.

Almost surely, 2^{1330600361400} is an apocalyptic number.

1330600361400 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 1330600361400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2254800088320).

1330600361400 is an abundant number, since it is smaller than the sum of its proper divisors (3178999815240).

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

1330600361400 is a wasteful number, since it uses less digits than its factorization.

1330600361400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7663 (or 7651 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The spelling of 1330600361400 in words is "one trillion, three hundred thirty billion, six hundred million, three hundred sixty-one thousand, four hundred".