16161949440 has 864 divisors, whose sum is σ = 71496961536. Its totient is φ = 3404021760.

The previous prime is 16161949439. The next prime is 16161949469. The reversal of 16161949440 is 4494916161.

16161949440 is a `hidden beast` number, since 1 + 6 + 16 + 194 + 9 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×16161949440² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28304355 + ... + 28304925.

Almost surely, 2^16161949440 is an apocalyptic number.

16161949440 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 16161949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35748480768).

16161949440 is an abundant number, since it is smaller than the sum of its proper divisors (55335012096).

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

16161949440 is an equidigital number, since it uses as much as digits as its factorization.

16161949440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 16161949440 in words is "sixteen billion, one hundred sixty-one million, nine hundred forty-nine thousand, four hundred forty".