406130040 has 96 divisors (see below), whose sum is σ = 1342364400. Its totient is φ = 106460160.

The previous prime is 406130033. The next prime is 406130063. The reversal of 406130040 is 40031604.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 406129995 and 406130022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11680 + ... + 30800.

Almost surely, 2^406130040 is an apocalyptic number.

406130040 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 406130040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671182200).

406130040 is an abundant number, since it is smaller than the sum of its proper divisors (936234360).

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

406130040 is a wasteful number, since it uses less digits than its factorization.

406130040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19197 (or 19190 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 406130040 is about 20152.6683096805. The cubic root of 406130040 is about 740.5511112529.

Adding to 406130040 its reverse (40031604), we get a palindrome (446161644).

The spelling of 406130040 in words is "four hundred six million, one hundred thirty thousand, forty".