14460722640 has 800 divisors, whose sum is σ = 62613492480. Its totient is φ = 3011862528.

The previous prime is 14460722629. The next prime is 14460722651. The reversal of 14460722640 is 4622706441.

14460722640 is a `hidden beast` number, since 1 + 4 + 4 + 6 + 0 + 7 + 2 + 2 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (14460722629) and next prime (14460722651).

It is a super-2 number, since 2×14460722640² (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 = 14460722595 and 14460722604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 80786071 + ... + 80786249.

Almost surely, 2^14460722640 is an apocalyptic number.

14460722640 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 14460722640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31306746240).

14460722640 is an abundant number, since it is smaller than the sum of its proper divisors (48152769840).

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

14460722640 is a wasteful number, since it uses less digits than its factorization.

14460722640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 14460722640 in words is "fourteen billion, four hundred sixty million, seven hundred twenty-two thousand, six hundred forty".