15867271440 has 400 divisors, whose sum is σ = 57402183168. Its totient is φ = 4058975232.

The previous prime is 15867271421. The next prime is 15867271513. The reversal of 15867271440 is 4417276851.

15867271440 is a `hidden beast` number, since 1 + 586 + 7 + 27 + 1 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16141189 + ... + 16142171.

Almost surely, 2^15867271440 is an apocalyptic number.

15867271440 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 15867271440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28701091584).

15867271440 is an abundant number, since it is smaller than the sum of its proper divisors (41534911728).

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

15867271440 is a wasteful number, since it uses less digits than its factorization.

15867271440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 15867271440 in words is "fifteen billion, eight hundred sixty-seven million, two hundred seventy-one thousand, four hundred forty".