16917042240 has 672 divisors, whose sum is σ = 71718220800. Its totient is φ = 3739115520.

The previous prime is 16917042229. The next prime is 16917042257. The reversal of 16917042240 is 4224071961.

It is a happy number.

16917042240 is a `hidden beast` number, since 1 + 69 + 170 + 422 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 = 16917042195 and 16917042204.

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, 13123516 + ... + 13124804.

Almost surely, 2^16917042240 is an apocalyptic number.

16917042240 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 16917042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35859110400).

16917042240 is an abundant number, since it is smaller than the sum of its proper divisors (54801178560).

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

16917042240 is a wasteful number, since it uses less digits than its factorization.

16917042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 16917042240 in words is "sixteen billion, nine hundred seventeen million, forty-two thousand, two hundred forty".