114102542400 has 672 divisors, whose sum is σ = 470293232640. Its totient is φ = 23528448000.

The previous prime is 114102542381. The next prime is 114102542413. The reversal of 114102542400 is 4245201411.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51373290 + ... + 51375510.

It is an arithmetic number, because the mean of its divisors is an integer number (699841120).

Almost surely, 2^114102542400 is an apocalyptic number.

114102542400 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 114102542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235146616320).

114102542400 is an abundant number, since it is smaller than the sum of its proper divisors (356190690240).

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

114102542400 is a wasteful number, since it uses less digits than its factorization.

114102542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2403 (or 2388 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 114102542400 its reverse (4245201411), we get a palindrome (118347743811).

The spelling of 114102542400 in words is "one hundred fourteen billion, one hundred two million, five hundred forty-two thousand, four hundred".