114361440 has 96 divisors (see below), whose sum is σ = 364422240. Its totient is φ = 30142464.

The previous prime is 114361421. The next prime is 114361453. The reversal of 114361440 is 44163411.

It is a tau number, because it is divible by the number of its divisors (96).

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 114361440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41382 + ... + 44058.

It is an arithmetic number, because the mean of its divisors is an integer number (3796065).

Almost surely, 2^114361440 is an apocalyptic number.

114361440 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 114361440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182211120).

114361440 is an abundant number, since it is smaller than the sum of its proper divisors (250060800).

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

114361440 is a wasteful number, since it uses less digits than its factorization.

114361440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2784 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 114361440 is about 10693.9908359789. The cubic root of 114361440 is about 485.3926603669.

The spelling of 114361440 in words is "one hundred fourteen million, three hundred sixty-one thousand, four hundred forty".