1361856038400 has 2160 divisors, whose sum is σ = 6069358254960. Its totient is φ = 287450726400.

The previous prime is 1361856038399. The next prime is 1361856038401. The reversal of 1361856038400 is 48306581631.

1361856038400 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 8 + 560 + 3 + 84 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1361856038399) and next prime (1361856038401).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361856038401) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 5946969486 + ... + 5946969714.

It is an arithmetic number, because the mean of its divisors is an integer number (2809888081).

Almost surely, 2^{1361856038400} is an apocalyptic number.

1361856038400 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 1361856038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3034679127480).

1361856038400 is an abundant number, since it is smaller than the sum of its proper divisors (4707502216560).

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

1361856038400 is a wasteful number, since it uses less digits than its factorization.

1361856038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 1361856038400 in words is "one trillion, three hundred sixty-one billion, eight hundred fifty-six million, thirty-eight thousand, four hundred".