16440111456 has 288 divisors, whose sum is σ = 47925198720. Its totient is φ = 4919685120.

The previous prime is 16440111449. The next prime is 16440111461. The reversal of 16440111456 is 65411104461.

It is a super-3 number, since 3×16440111456³ (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145487656 + ... + 145487768.

It is an arithmetic number, because the mean of its divisors is an integer number (166406940).

Almost surely, 2^16440111456 is an apocalyptic number.

16440111456 is a gapful number since it is divisible by the number (16) 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 16440111456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23962599360).

16440111456 is an abundant number, since it is smaller than the sum of its proper divisors (31485087264).

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

16440111456 is a wasteful number, since it uses less digits than its factorization.

16440111456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 16440111456 in words is "sixteen billion, four hundred forty million, one hundred eleven thousand, four hundred fifty-six".