15272413040 has 80 divisors (see below), whose sum is σ = 36628920480. Its totient is φ = 5917639680.

The previous prime is 15272413027. The next prime is 15272413043. The reversal of 15272413040 is 4031427251.

15272413040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 15272412994 and 15272413012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15272413043) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 666575 + ... + 689105.

It is an arithmetic number, because the mean of its divisors is an integer number (457861506).

Almost surely, 2^15272413040 is an apocalyptic number.

15272413040 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 15272413040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18314460240).

15272413040 is an abundant number, since it is smaller than the sum of its proper divisors (21356507440).

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

15272413040 is a wasteful number, since it uses less digits than its factorization.

15272413040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22810 (or 22804 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The spelling of 15272413040 in words is "fifteen billion, two hundred seventy-two million, four hundred thirteen thousand, forty".