14008634640 has 1920 divisors, whose sum is σ = 70928793600. Its totient is φ = 2463436800.

The previous prime is 14008634617. The next prime is 14008634657. The reversal of 14008634640 is 4643680041.

14008634640 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 8 + 6 + 3 + 4 + 640 = 666.

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 = 14008634595 and 14008634604.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 451891425 + ... + 451891455.

It is an arithmetic number, because the mean of its divisors is an integer number (36942080).

Almost surely, 2^14008634640 is an apocalyptic number.

14008634640 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 14008634640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35464396800).

14008634640 is an abundant number, since it is smaller than the sum of its proper divisors (56920158960).

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

14008634640 is a wasteful number, since it uses less digits than its factorization.

14008634640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 14008634640 in words is "fourteen billion, eight million, six hundred thirty-four thousand, six hundred forty".