14979959357440 has 640 divisors, whose sum is σ = 45805782528000. Its totient is φ = 4566842081280.

The previous prime is 14979959357417. The next prime is 14979959357453. The reversal of 14979959357440 is 4475395997941.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9486990571 + ... + 9486992149.

It is an arithmetic number, because the mean of its divisors is an integer number (71571535200).

Almost surely, 2^{14979959357440} is an apocalyptic number.

14979959357440 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 14979959357440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22902891264000).

14979959357440 is an abundant number, since it is smaller than the sum of its proper divisors (30825823170560).

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

14979959357440 is an frugal number, since it uses more digits than its factorization.

14979959357440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1687 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 1543147200, while the sum is 76.

The spelling of 14979959357440 in words is "fourteen trillion, nine hundred seventy-nine billion, nine hundred fifty-nine million, three hundred fifty-seven thousand, four hundred forty".