406034409056 has 96 divisors (see below), whose sum is σ = 820928908800. Its totient is φ = 197627189760.

The previous prime is 406034409047. The next prime is 406034409059. The reversal of 406034409056 is 650904430604.

It is a super-2 number, since 2×406034409056² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406034409059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119807810 + ... + 119811198.

It is an arithmetic number, because the mean of its divisors is an integer number (8551342800).

Almost surely, 2^406034409056 is an apocalyptic number.

It is an amenable number.

406034409056 is an abundant number, since it is smaller than the sum of its proper divisors (414894499744).

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

406034409056 is a wasteful number, since it uses less digits than its factorization.

406034409056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4132 (or 4124 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 41.

The spelling of 406034409056 in words is "four hundred six billion, thirty-four million, four hundred nine thousand, fifty-six".