114271440 has 80 divisors (see below), whose sum is σ = 356221248. Its totient is φ = 30302208.

The previous prime is 114271439. The next prime is 114271457. The reversal of 114271440 is 44172411.

It is a tau number, because it is divible by the number of its divisors (80).

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 114271440.

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, 45087 + ... + 47553.

Almost surely, 2^114271440 is an apocalyptic number.

114271440 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 114271440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178110624).

114271440 is an abundant number, since it is smaller than the sum of its proper divisors (241949808).

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

114271440 is a wasteful number, since it uses less digits than its factorization.

114271440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2676 (or 2670 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 114271440 is about 10689.7820370670. The cubic root of 114271440 is about 485.2652957463.

The spelling of 114271440 in words is "one hundred fourteen million, two hundred seventy-one thousand, four hundred forty".