115735631411400 has 384 divisors, whose sum is σ = 481719217996800. Its totient is φ = 22199042073600.

The previous prime is 115735631411383. The next prime is 115735631411431. The reversal of 115735631411400 is 4114136537511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95749410 + ... + 96950609.

It is an arithmetic number, because the mean of its divisors is an integer number (1254477130200).

Almost surely, 2^{115735631411400} is an apocalyptic number.

115735631411400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115735631411400 is an abundant number, since it is smaller than the sum of its proper divisors (365983586585400).

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

115735631411400 is a wasteful number, since it uses less digits than its factorization.

115735631411400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192700069 (or 192700060 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

Adding to 115735631411400 its reverse (4114136537511), we get a palindrome (119849767948911).

The spelling of 115735631411400 in words is "one hundred fifteen trillion, seven hundred thirty-five billion, six hundred thirty-one million, four hundred eleven thousand, four hundred".