114610280400 has 1920 divisors, whose sum is σ = 551056158720. Its totient is φ = 22079692800.

The previous prime is 114610280377. The next prime is 114610280429. The reversal of 114610280400 is 4082016411.

It is a happy number.

114610280400 is a `hidden beast` number, since 1 + 1 + 4 + 610 + 2 + 8 + 0 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1710601167 + ... + 1710601233.

It is an arithmetic number, because the mean of its divisors is an integer number (287008416).

Almost surely, 2^114610280400 is an apocalyptic number.

114610280400 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 114610280400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275528079360).

114610280400 is an abundant number, since it is smaller than the sum of its proper divisors (436445878320).

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

114610280400 is a wasteful number, since it uses less digits than its factorization.

114610280400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 114610280400 its reverse (4082016411), we get a palindrome (118692296811).

The spelling of 114610280400 in words is "one hundred fourteen billion, six hundred ten million, two hundred eighty thousand, four hundred".