14650428240 has 480 divisors, whose sum is σ = 58164777216. Its totient is φ = 3234816000.

The previous prime is 14650428179. The next prime is 14650428251. The reversal of 14650428240 is 4282405641.

14650428240 is a `hidden beast` number, since 146 + 50 + 428 + 2 + 40 = 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 = 14650428195 and 14650428204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46806324 + ... + 46806636.

Almost surely, 2^14650428240 is an apocalyptic number.

14650428240 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 14650428240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29082388608).

14650428240 is an abundant number, since it is smaller than the sum of its proper divisors (43514348976).

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

14650428240 is a wasteful number, since it uses less digits than its factorization.

14650428240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 14650428240 in words is "fourteen billion, six hundred fifty million, four hundred twenty-eight thousand, two hundred forty".