16190057881440 has 288 divisors, whose sum is σ = 55761499422720. Its totient is φ = 4277361779712.

The previous prime is 16190057881381. The next prime is 16190057881511. The reversal of 16190057881440 is 4418875009161.

16190057881440 is a `hidden beast` number, since 1 + 6 + 19 + 0 + 0 + 578 + 8 + 14 + 40 = 666.

16190057881440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×16190057881440² (a number of 27 digits) contains 22 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, 131429157 + ... + 131552283.

It is an arithmetic number, because the mean of its divisors is an integer number (193616317440).

Almost surely, 2^{16190057881440} is an apocalyptic number.

16190057881440 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 16190057881440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27880749711360).

16190057881440 is an abundant number, since it is smaller than the sum of its proper divisors (39571441541280).

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

16190057881440 is a wasteful number, since it uses less digits than its factorization.

16190057881440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123994 (or 123983 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 16190057881440 in words is "sixteen trillion, one hundred ninety billion, fifty-seven million, eight hundred eighty-one thousand, four hundred forty".