406034104320 has 840 divisors, whose sum is σ = 1576403593296. Its totient is φ = 99755753472.

The previous prime is 406034104253. The next prime is 406034104321. The reversal of 406034104320 is 23401430604.

406034104320 is a `hidden beast` number, since 4 + 0 + 603 + 4 + 10 + 43 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (406034104321) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 776355579 + ... + 776356101.

Almost surely, 2^406034104320 is an apocalyptic number.

406034104320 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 406034104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788201796648).

406034104320 is an abundant number, since it is smaller than the sum of its proper divisors (1170369488976).

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

406034104320 is an frugal number, since it uses more digits than its factorization.

406034104320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 406034104320 its reverse (23401430604), we get a palindrome (429435534924).

The spelling of 406034104320 in words is "four hundred six billion, thirty-four million, one hundred four thousand, three hundred twenty".