15251045440 has 112 divisors (see below), whose sum is σ = 38533785264. Its totient is φ = 5729484800.

The previous prime is 15251045431. The next prime is 15251045443. The reversal of 15251045440 is 4454015251.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 228130816 + 15022914624 = 15104^2 + 122568^2 .

It is not an unprimeable number, because it can be changed into a prime (15251045443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2831550 + ... + 2836930.

Almost surely, 2^15251045440 is an apocalyptic number.

15251045440 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 15251045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19266892632).

15251045440 is an abundant number, since it is smaller than the sum of its proper divisors (23282739824).

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

15251045440 is a wasteful number, since it uses less digits than its factorization.

15251045440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5936 (or 5926 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 31.

The spelling of 15251045440 in words is "fifteen billion, two hundred fifty-one million, forty-five thousand, four hundred forty".