404032220640 has 768 divisors, whose sum is σ = 1493045084160. Its totient is φ = 101919098880.

The previous prime is 404032220629. The next prime is 404032220651. The reversal of 404032220640 is 46022230404.

404032220640 is a `hidden beast` number, since 404 + 0 + 32 + 220 + 6 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (404032220629) and next prime (404032220651).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1811803569 + ... + 1811803791.

It is an arithmetic number, because the mean of its divisors is an integer number (1944069120).

Almost surely, 2^404032220640 is an apocalyptic number.

404032220640 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 404032220640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746522542080).

404032220640 is an abundant number, since it is smaller than the sum of its proper divisors (1089012863520).

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

404032220640 is a wasteful number, since it uses less digits than its factorization.

404032220640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The spelling of 404032220640 in words is "four hundred four billion, thirty-two million, two hundred twenty thousand, six hundred forty".