406918000000 has 112 divisors (see below), whose sum is σ = 1013313201300. Its totient is φ = 162766400000.

The previous prime is 406917999973. The next prime is 406918000009. The reversal of 406918000000 is 819604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406918000009) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1898271 + ... + 2101729.

Almost surely, 2^406918000000 is an apocalyptic number.

406918000000 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 406918000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506656600650).

406918000000 is an abundant number, since it is smaller than the sum of its proper divisors (606395201300).

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

406918000000 is an frugal number, since it uses more digits than its factorization.

406918000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203503 (or 203466 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

Adding to 406918000000 its reverse (819604), we get a palindrome (406918819604).

The spelling of 406918000000 in words is "four hundred six billion, nine hundred eighteen million", and thus it is an aban number.