1161413600400 has 360 divisors, whose sum is σ = 4251018096000. Its totient is φ = 292824529920.

The previous prime is 1161413600357. The next prime is 1161413600407. The reversal of 1161413600400 is 40063141611.

1161413600400 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 4 + 13 + 600 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (1161413600407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34798921 + ... + 34832279.

It is an arithmetic number, because the mean of its divisors is an integer number (11808383600).

Almost surely, 2^{1161413600400} is an apocalyptic number.

1161413600400 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 1161413600400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2125509048000).

1161413600400 is an abundant number, since it is smaller than the sum of its proper divisors (3089604495600).

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

1161413600400 is a wasteful number, since it uses less digits than its factorization.

1161413600400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33911 (or 33897 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 1161413600400 in words is "one trillion, one hundred sixty-one billion, four hundred thirteen million, six hundred thousand, four hundred".