404401452532320 has 192 divisors, whose sum is σ = 1308314196213696. Its totient is φ = 104924110233600.

The previous prime is 404401452532307. The next prime is 404401452532321. The reversal of 404401452532320 is 23235254104404.

It is a super-2 number, since 2×404401452532320² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404401452532321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1433108682 + ... + 1433390838.

It is an arithmetic number, because the mean of its divisors is an integer number (6814136438613).

Almost surely, 2^{404401452532320} is an apocalyptic number.

404401452532320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404401452532320 is an abundant number, since it is smaller than the sum of its proper divisors (903912743681376).

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

404401452532320 is a wasteful number, since it uses less digits than its factorization.

404401452532320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362913 (or 362905 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 39.

The spelling of 404401452532320 in words is "four hundred four trillion, four hundred one billion, four hundred fifty-two million, five hundred thirty-two thousand, three hundred twenty".