15916366440 has 384 divisors, whose sum is σ = 57196339200. Its totient is φ = 3814594560.

The previous prime is 15916366439. The next prime is 15916366469. The reversal of 15916366440 is 4466361951.

15916366440 is a `hidden beast` number, since 1 + 5 + 9 + 1 + 636 + 6 + 4 + 4 + 0 = 666.

15916366440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 36255741 + ... + 36256179.

It is an arithmetic number, because the mean of its divisors is an integer number (148948800).

Almost surely, 2^15916366440 is an apocalyptic number.

15916366440 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 15916366440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28598169600).

15916366440 is an abundant number, since it is smaller than the sum of its proper divisors (41279972760).

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

15916366440 is a wasteful number, since it uses less digits than its factorization.

15916366440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 15916366440 in words is "fifteen billion, nine hundred sixteen million, three hundred sixty-six thousand, four hundred forty".