1361981930400 has 2304 divisors, whose sum is σ = 6299596800000. Its totient is φ = 282140651520.

The previous prime is 1361981930389. The next prime is 1361981930423. The reversal of 1361981930400 is 40391891631.

1361981930400 is a `hidden beast` number, since 13 + 6 + 198 + 19 + 30 + 400 = 666.

It is a super-2 number, since 2×1361981930400² (a number of 25 digits) contains 22 as substring.

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 383 ways as a sum of consecutive naturals, for example, 7608837511 + ... + 7608837689.

It is an arithmetic number, because the mean of its divisors is an integer number (2734200000).

Almost surely, 2^{1361981930400} is an apocalyptic number.

1361981930400 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 1361981930400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3149798400000).

1361981930400 is an abundant number, since it is smaller than the sum of its proper divisors (4937614869600).

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

1361981930400 is a wasteful number, since it uses less digits than its factorization.

1361981930400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 1361981930400 in words is "one trillion, three hundred sixty-one billion, nine hundred eighty-one million, nine hundred thirty thousand, four hundred".