406902318000 has 160 divisors (see below), whose sum is σ = 1318516056000. Its totient is φ = 107956172800.

The previous prime is 406902317959. The next prime is 406902318029. The reversal of 406902318000 is 813209604.

406902318000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1009876 + ... + 1354124.

It is an arithmetic number, because the mean of its divisors is an integer number (8240725350).

Almost surely, 2^406902318000 is an apocalyptic number.

406902318000 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 406902318000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659258028000).

406902318000 is an abundant number, since it is smaller than the sum of its proper divisors (911613738000).

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

406902318000 is a wasteful number, since it uses less digits than its factorization.

406902318000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344472 (or 344456 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 406902318000 in words is "four hundred six billion, nine hundred two million, three hundred eighteen thousand".