114128394962400 has 9072 divisors, whose sum is σ = 591895598694624. Its totient is φ = 21230883717120.

The previous prime is 114128394962317. The next prime is 114128394962401. The reversal of 114128394962400 is 4269493821411.

114128394962400 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 2 + 8 + 3 + 9 + 4 + 9 + 624 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (9072).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114128394962401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 1511 ways as a sum of consecutive naturals, for example, 3084551215182 + ... + 3084551215218.

It is an arithmetic number, because the mean of its divisors is an integer number (65244223842).

Almost surely, 2^{114128394962400} is an apocalyptic number.

114128394962400 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 114128394962400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295947799347312).

114128394962400 is an abundant number, since it is smaller than the sum of its proper divisors (477767203732224).

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

114128394962400 is a wasteful number, since it uses less digits than its factorization.

114128394962400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 114128394962400 in words is "one hundred fourteen trillion, one hundred twenty-eight billion, three hundred ninety-four million, nine hundred sixty-two thousand, four hundred".