14127837840 has 240 divisors, whose sum is σ = 48073708800. Its totient is φ = 3717964800.

The previous prime is 14127837821. The next prime is 14127837869. The reversal of 14127837840 is 4873872141.

14127837840 is a `hidden beast` number, since 1 + 4 + 1 + 278 + 378 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 21634954 + ... + 21635606.

It is an arithmetic number, because the mean of its divisors is an integer number (200307120).

Almost surely, 2^14127837840 is an apocalyptic number.

14127837840 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 14127837840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24036854400).

14127837840 is an abundant number, since it is smaller than the sum of its proper divisors (33945870960).

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

14127837840 is a wasteful number, since it uses less digits than its factorization.

14127837840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 14127837840 in words is "fourteen billion, one hundred twenty-seven million, eight hundred thirty-seven thousand, eight hundred forty".