1361405304400 has 30 divisors (see below), whose sum is σ = 3270776244782. Its totient is φ = 544562121600.

The previous prime is 1361405304367. The next prime is 1361405304403. The reversal of 1361405304400 is 44035041631.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 426811342864 + 934593961536 = 653308^2 + 966744^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361405304403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1701756231 + ... + 1701757030.

Almost surely, 2^{1361405304400} is an apocalyptic number.

1361405304400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1361405304400 is an abundant number, since it is smaller than the sum of its proper divisors (1909370940382).

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

1361405304400 is a wasteful number, since it uses less digits than its factorization.

1361405304400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3403513279 (or 3403513268 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The spelling of 1361405304400 in words is "one trillion, three hundred sixty-one billion, four hundred five million, three hundred four thousand, four hundred".