16417040000 has 80 divisors (see below), whose sum is σ = 40869394170. Its totient is φ = 6566784000.

The previous prime is 16417039987. The next prime is 16417040009. The reversal of 16417040000 is 4071461.

It can be written as a sum of positive squares in 5 ways, for example, as 3734676544 + 12682363456 = 61112^2 + 112616^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (16417040009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 22607 + ... + 182606.

Almost surely, 2^16417040000 is an apocalyptic number.

16417040000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16417040000 is an abundant number, since it is smaller than the sum of its proper divisors (24452354170).

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

16417040000 is an frugal number, since it uses more digits than its factorization.

16417040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205247 (or 205220 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The spelling of 16417040000 in words is "sixteen billion, four hundred seventeen million, forty thousand".