115107247440400 has 240 divisors, whose sum is σ = 287102768978880. Its totient is φ = 44324251084800.

The previous prime is 115107247440313. The next prime is 115107247440469. The reversal of 115107247440400 is 4044742701511.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 326613082 + ... + 326965318.

It is an arithmetic number, because the mean of its divisors is an integer number (1196261537412).

Almost surely, 2^{115107247440400} is an apocalyptic number.

115107247440400 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 115107247440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143551384489440).

115107247440400 is an abundant number, since it is smaller than the sum of its proper divisors (171995521538480).

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

115107247440400 is a wasteful number, since it uses less digits than its factorization.

115107247440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352602 (or 352591 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 40.

The spelling of 115107247440400 in words is "one hundred fifteen trillion, one hundred seven billion, two hundred forty-seven million, four hundred forty thousand, four hundred".