406417000000 has 196 divisors, whose sum is σ = 1099766235312. Its totient is φ = 147784000000.

The previous prime is 406416999983. The next prime is 406417000007. The reversal of 406417000000 is 714604.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (406417000007) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 10981527 + ... + 11018473.

Almost surely, 2^406417000000 is an apocalyptic number.

406417000000 is a gapful number since it is divisible by the number (40) 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 406417000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549883117656).

406417000000 is an abundant number, since it is smaller than the sum of its proper divisors (693349235312).

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

406417000000 is an frugal number, since it uses more digits than its factorization.

406417000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37000 (or 36965 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

Adding to 406417000000 its reverse (714604), we get a palindrome (406417714604).

The spelling of 406417000000 in words is "four hundred six billion, four hundred seventeen million", and thus it is an aban number.