16117093440 has 1344 divisors, whose sum is σ = 72852369408. Its totient is φ = 3185049600.

The previous prime is 16117093427. The next prime is 16117093451. The reversal of 16117093440 is 4439071161.

16117093440 is a `hidden beast` number, since 1 + 61 + 1 + 70 + 93 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 16117093395 and 16117093404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 393099820 + ... + 393099860.

It is an arithmetic number, because the mean of its divisors is an integer number (54205632).

Almost surely, 2^16117093440 is an apocalyptic number.

16117093440 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 16117093440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36426184704).

16117093440 is an abundant number, since it is smaller than the sum of its proper divisors (56735275968).

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

16117093440 is a wasteful number, since it uses less digits than its factorization.

16117093440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 16117093440 in words is "sixteen billion, one hundred seventeen million, ninety-three thousand, four hundred forty".