14427959040 has 432 divisors, whose sum is σ = 55805664096. Its totient is φ = 3411148800.

The previous prime is 14427959027. The next prime is 14427959071. The reversal of 14427959040 is 4095972441.

14427959040 is a `hidden beast` number, since 14 + 4 + 2 + 7 + 9 + 590 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5194132 + ... + 5196908.

It is an arithmetic number, because the mean of its divisors is an integer number (129179778).

Almost surely, 2^14427959040 is an apocalyptic number.

14427959040 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 14427959040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27902832048).

14427959040 is an abundant number, since it is smaller than the sum of its proper divisors (41377705056).

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

14427959040 is a wasteful number, since it uses less digits than its factorization.

14427959040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2856 (or 2839 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 14427959040 in words is "fourteen billion, four hundred twenty-seven million, nine hundred fifty-nine thousand, forty".