16044013440 has 1280 divisors, whose sum is σ = 74644416000. Its totient is φ = 3189030912.

The previous prime is 16044013409. The next prime is 16044013501. The reversal of 16044013440 is 4431044061.

16044013440 is a `hidden beast` number, since 1 + 604 + 4 + 0 + 13 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 89631271 + ... + 89631449.

It is an arithmetic number, because the mean of its divisors is an integer number (58315950).

Almost surely, 2^16044013440 is an apocalyptic number.

16044013440 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 16044013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37322208000).

16044013440 is an abundant number, since it is smaller than the sum of its proper divisors (58600402560).

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

16044013440 is a wasteful number, since it uses less digits than its factorization.

16044013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 16044013440 in words is "sixteen billion, forty-four million, thirteen thousand, four hundred forty".