406502038404 has 480 divisors, whose sum is σ = 1414063816704. Its totient is φ = 98578529280.

The previous prime is 406502038403. The next prime is 406502038409. The reversal of 406502038404 is 404830205604.

406502038404 is a `hidden beast` number, since 40 + 6 + 5 + 0 + 203 + 8 + 404 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (406502038403) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 53858959 + ... + 53866505.

Almost surely, 2^406502038404 is an apocalyptic number.

406502038404 is a gapful number since it is divisible by the number (44) 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 406502038404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707031908352).

406502038404 is an abundant number, since it is smaller than the sum of its proper divisors (1007561778300).

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

406502038404 is a wasteful number, since it uses less digits than its factorization.

406502038404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7725 (or 7714 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 406502038404 in words is "four hundred six billion, five hundred two million, thirty-eight thousand, four hundred four".