14137295040 has 448 divisors, whose sum is σ = 57278016000. Its totient is φ = 3246428160.

The previous prime is 14137295033. The next prime is 14137295083. The reversal of 14137295040 is 4059273141.

14137295040 is a `hidden beast` number, since 14 + 137 + 2 + 9 + 504 + 0 = 666.

It is a super-2 number, since 2×14137295040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14137294986 and 14137295004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1801846 + ... + 1809674.

Almost surely, 2^14137295040 is an apocalyptic number.

14137295040 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 14137295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28639008000).

14137295040 is an abundant number, since it is smaller than the sum of its proper divisors (43140720960).

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

14137295040 is a wasteful number, since it uses less digits than its factorization.

14137295040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7885 (or 7869 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 14137295040 in words is "fourteen billion, one hundred thirty-seven million, two hundred ninety-five thousand, forty".