14004995040 has 384 divisors, whose sum is σ = 50142758400. Its totient is φ = 3650088960.

The previous prime is 14004995033. The next prime is 14004995041. The reversal of 14004995040 is 4059940041.

It is a happy number.

14004995040 is a `hidden beast` number, since 140 + 0 + 4 + 9 + 9 + 504 + 0 = 666.

It is a super-2 number, since 2×14004995040² (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 = 14004994986 and 14004995004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14004995041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49839700 + ... + 49839980.

It is an arithmetic number, because the mean of its divisors is an integer number (130580100).

Almost surely, 2^14004995040 is an apocalyptic number.

14004995040 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 14004995040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25071379200).

14004995040 is an abundant number, since it is smaller than the sum of its proper divisors (36137763360).

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

14004995040 is a wasteful number, since it uses less digits than its factorization.

14004995040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 14004995040 in words is "fourteen billion, four million, nine hundred ninety-five thousand, forty".