8014140144 has 120 divisors (see below), whose sum is σ = 22813281920. Its totient is φ = 2625727104.

The previous prime is 8014140107. The next prime is 8014140149. The reversal of 8014140144 is 4410414108.

8014140144 is a `hidden beast` number, since 80 + 141 + 401 + 44 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8014140149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8287149 + ... + 8288115.

Almost surely, 2^8014140144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8014140144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11406640960).

8014140144 is an abundant number, since it is smaller than the sum of its proper divisors (14799141776).

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

8014140144 is a wasteful number, since it uses less digits than its factorization.

8014140144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1907 (or 1898 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 8014140144 is about 89521.7300100931. The cubic root of 8014140144 is about 2001.1776517654.

The spelling of 8014140144 in words is "eight billion, fourteen million, one hundred forty thousand, one hundred forty-four".