404338403520 has 672 divisors, whose sum is σ = 1474122162240. Its totient is φ = 101603082240.

The previous prime is 404338403509. The next prime is 404338403531. The reversal of 404338403520 is 25304833404.

It is an interprime number because it is at equal distance from previous prime (404338403509) and next prime (404338403531).

It is a super-2 number, since 2×404338403520² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 458953480 + ... + 458954360.

It is an arithmetic number, because the mean of its divisors is an integer number (2193634170).

Almost surely, 2^404338403520 is an apocalyptic number.

404338403520 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 404338403520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737061081120).

404338403520 is an abundant number, since it is smaller than the sum of its proper divisors (1069783758720).

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

404338403520 is a wasteful number, since it uses less digits than its factorization.

404338403520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 404338403520 in words is "four hundred four billion, three hundred thirty-eight million, four hundred three thousand, five hundred twenty".