14725346117440 has 112 divisors (see below), whose sum is σ = 40084195964544. Its totient is φ = 5047402752000.

The previous prime is 14725346117423. The next prime is 14725346117483. The reversal of 14725346117440 is 4471164352741.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7969290 + ... + 9641590.

Almost surely, 2^{14725346117440} is an apocalyptic number.

14725346117440 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 14725346117440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20042097982272).

14725346117440 is an abundant number, since it is smaller than the sum of its proper divisors (25358849847104).

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

14725346117440 is a wasteful number, since it uses less digits than its factorization.

14725346117440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1676256 (or 1676246 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 49.

The spelling of 14725346117440 in words is "fourteen trillion, seven hundred twenty-five billion, three hundred forty-six million, one hundred seventeen thousand, four hundred forty".