114402013440 has 288 divisors, whose sum is σ = 429249614976. Its totient is φ = 25600327680.

The previous prime is 114402013367. The next prime is 114402013459. The reversal of 114402013440 is 44310204411.

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

It is a self number, because there is not a number n which added to its sum of digits gives 114402013440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 444952 + ... + 653288.

It is an arithmetic number, because the mean of its divisors is an integer number (1490450052).

Almost surely, 2^114402013440 is an apocalyptic number.

114402013440 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 114402013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214624807488).

114402013440 is an abundant number, since it is smaller than the sum of its proper divisors (314847601536).

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

114402013440 is a wasteful number, since it uses less digits than its factorization.

114402013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208385 (or 208371 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 114402013440 its reverse (44310204411), we get a palindrome (158712217851).

The spelling of 114402013440 in words is "one hundred fourteen billion, four hundred two million, thirteen thousand, four hundred forty".