15227245440 has 768 divisors, whose sum is σ = 61934595840. Its totient is φ = 3406233600.

The previous prime is 15227245433. The next prime is 15227245469. The reversal of 15227245440 is 4454272251.

15227245440 is a `hidden beast` number, since 152 + 27 + 2 + 45 + 440 = 666.

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 = 15227245395 and 15227245404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72166935 + ... + 72167145.

It is an arithmetic number, because the mean of its divisors is an integer number (80644005).

Almost surely, 2^15227245440 is an apocalyptic number.

15227245440 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 15227245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30967297920).

15227245440 is an abundant number, since it is smaller than the sum of its proper divisors (46707350400).

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

15227245440 is a wasteful number, since it uses less digits than its factorization.

15227245440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 36.

The spelling of 15227245440 in words is "fifteen billion, two hundred twenty-seven million, two hundred forty-five thousand, four hundred forty".