14725414440 has 240 divisors, whose sum is σ = 54403673940. Its totient is φ = 3569702400.

The previous prime is 14725414427. The next prime is 14725414441. The reversal of 14725414440 is 4441452741.

14725414440 is a `hidden beast` number, since 1 + 4 + 72 + 541 + 4 + 4 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13325008356 + 1400406084 = 115434^2 + 37422^2 .

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 = 14725414395 and 14725414404.

It is not an unprimeable number, because it can be changed into a prime (14725414441) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 373260 + ... + 410820.

Almost surely, 2^14725414440 is an apocalyptic number.

14725414440 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 14725414440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27201836970).

14725414440 is an abundant number, since it is smaller than the sum of its proper divisors (39678259500).

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

14725414440 is a wasteful number, since it uses less digits than its factorization.

14725414440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37606 (or 37582 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The spelling of 14725414440 in words is "fourteen billion, seven hundred twenty-five million, four hundred fourteen thousand, four hundred forty".