404700474640 has 240 divisors, whose sum is σ = 1196770723200. Its totient is φ = 125853450240.

The previous prime is 404700474637. The next prime is 404700474683. The reversal of 404700474640 is 46474007404.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 404700474593 and 404700474602.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 19350429 + ... + 19371331.

It is an arithmetic number, because the mean of its divisors is an integer number (4986544680).

Almost surely, 2^404700474640 is an apocalyptic number.

404700474640 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 404700474640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598385361600).

404700474640 is an abundant number, since it is smaller than the sum of its proper divisors (792070248560).

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

404700474640 is a wasteful number, since it uses less digits than its factorization.

404700474640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21390 (or 21377 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 40.

The spelling of 404700474640 in words is "four hundred four billion, seven hundred million, four hundred seventy-four thousand, six hundred forty".