14244614640 has 400 divisors, whose sum is σ = 52545208320. Its totient is φ = 3566384640.

The previous prime is 14244614627. The next prime is 14244614651. The reversal of 14244614640 is 4641644241.

14244614640 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 4 + 6 + 1 + 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 = 14244614595 and 14244614604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15635785 + ... + 15636695.

Almost surely, 2^14244614640 is an apocalyptic number.

14244614640 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 14244614640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26272604160).

14244614640 is an abundant number, since it is smaller than the sum of its proper divisors (38300593680).

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

14244614640 is a wasteful number, since it uses less digits than its factorization.

14244614640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 14244614640 in words is "fourteen billion, two hundred forty-four million, six hundred fourteen thousand, six hundred forty".