14965117440 has 1280 divisors, whose sum is σ = 65995776000. Its totient is φ = 2861236224.

The previous prime is 14965117423. The next prime is 14965117487. The reversal of 14965117440 is 4471156941.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 14965117392 and 14965117401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 650657269 + ... + 650657291.

It is an arithmetic number, because the mean of its divisors is an integer number (51559200).

Almost surely, 2^14965117440 is an apocalyptic number.

14965117440 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 14965117440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32997888000).

14965117440 is an abundant number, since it is smaller than the sum of its proper divisors (51030658560).

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

14965117440 is a wasteful number, since it uses less digits than its factorization.

14965117440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 14965117440 in words is "fourteen billion, nine hundred sixty-five million, one hundred seventeen thousand, four hundred forty".