16417595040 has 1152 divisors, whose sum is σ = 71484456960. Its totient is φ = 3122380800.

The previous prime is 16417595023. The next prime is 16417595053. The reversal of 16417595040 is 4059571461.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 16417594983 and 16417595001.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 184467316 + ... + 184467404.

It is an arithmetic number, because the mean of its divisors is an integer number (62052480).

Almost surely, 2^16417595040 is an apocalyptic number.

16417595040 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 16417595040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35742228480).

16417595040 is an abundant number, since it is smaller than the sum of its proper divisors (55066861920).

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

16417595040 is a wasteful number, since it uses less digits than its factorization.

16417595040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 16417595040 in words is "sixteen billion, four hundred seventeen million, five hundred ninety-five thousand, forty".