115761442406400 has 1080 divisors, whose sum is σ = 475376029861824. Its totient is φ = 26377872998400.

The previous prime is 115761442406369. The next prime is 115761442406411. The reversal of 115761442406400 is 4604244167511.

115761442406400 is a `hidden beast` number, since 1 + 1 + 5 + 7 + 614 + 4 + 24 + 0 + 6 + 4 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8541382024 + ... + 8541395576.

Almost surely, 2^{115761442406400} is an apocalyptic number.

115761442406400 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 115761442406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237688014930912).

115761442406400 is an abundant number, since it is smaller than the sum of its proper divisors (359614587455424).

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

115761442406400 is a wasteful number, since it uses less digits than its factorization.

115761442406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13935 (or 13901 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 115761442406400 in words is "one hundred fifteen trillion, seven hundred sixty-one billion, four hundred forty-two million, four hundred six thousand, four hundred".