14045264640 has 864 divisors, whose sum is σ = 56936355840. Its totient is φ = 3162931200.

The previous prime is 14045264621. The next prime is 14045264641. The reversal of 14045264640 is 4646254041.

14045264640 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 5 + 2 + 6 + 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 = 14045264595 and 14045264604.

It is not an unprimeable number, because it can be changed into a prime (14045264641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 177788121 + ... + 177788199.

It is an arithmetic number, because the mean of its divisors is an integer number (65898560).

Almost surely, 2^14045264640 is an apocalyptic number.

14045264640 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 14045264640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28468177920).

14045264640 is an abundant number, since it is smaller than the sum of its proper divisors (42891091200).

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

14045264640 is a wasteful number, since it uses less digits than its factorization.

14045264640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 14045264640 in words is "fourteen billion, forty-five million, two hundred sixty-four thousand, six hundred forty".