114113425440 has 1152 divisors, whose sum is σ = 470911795200. Its totient is φ = 22663618560.

The previous prime is 114113425423. The next prime is 114113425453. The reversal of 114113425440 is 44524311411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 114113425398 and 114113425407.

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 191 ways as a sum of consecutive naturals, for example, 1046912106 + ... + 1046912214.

It is an arithmetic number, because the mean of its divisors is an integer number (408777600).

Almost surely, 2^114113425440 is an apocalyptic number.

114113425440 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 114113425440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235455897600).

114113425440 is an abundant number, since it is smaller than the sum of its proper divisors (356798369760).

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

114113425440 is a wasteful number, since it uses less digits than its factorization.

114113425440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 114113425440 its reverse (44524311411), we get a palindrome (158637736851).

The spelling of 114113425440 in words is "one hundred fourteen billion, one hundred thirteen million, four hundred twenty-five thousand, four hundred forty".