14976973440 has 1536 divisors, whose sum is σ = 68372640000. Its totient is φ = 3065610240.

The previous prime is 14976973433. The next prime is 14976973513. The reversal of 14976973440 is 4437967941.

14976973440 is a `hidden beast` number, since 1 + 49 + 76 + 97 + 3 + 440 = 666.

14976973440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 516447346 + ... + 516447374.

Almost surely, 2^14976973440 is an apocalyptic number.

14976973440 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 14976973440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34186320000).

14976973440 is an abundant number, since it is smaller than the sum of its proper divisors (53395666560).

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

14976973440 is a wasteful number, since it uses less digits than its factorization.

14976973440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 14976973440 in words is "fourteen billion, nine hundred seventy-six million, nine hundred seventy-three thousand, four hundred forty".