1361464504400 has 960 divisors, whose sum is σ = 4515047018496. Its totient is φ = 380878848000.

The previous prime is 1361464504397. The next prime is 1361464504529. The reversal of 1361464504400 is 44054641631.

It is a super-2 number, since 2×1361464504400² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2359556912 + ... + 2359557488.

Almost surely, 2^{1361464504400} is an apocalyptic number.

1361464504400 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 1361464504400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2257523509248).

1361464504400 is an abundant number, since it is smaller than the sum of its proper divisors (3153582514096).

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

1361464504400 is a wasteful number, since it uses less digits than its factorization.

1361464504400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The spelling of 1361464504400 in words is "one trillion, three hundred sixty-one billion, four hundred sixty-four million, five hundred four thousand, four hundred".