404004525550332 has 384 divisors, whose sum is σ = 1182989933346816. Its totient is φ = 104687115337728.

The previous prime is 404004525550321. The next prime is 404004525550363. The reversal of 404004525550332 is 233055525400404.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 9069966853 + ... + 9070011395.

It is an arithmetic number, because the mean of its divisors is an integer number (3080702951424).

Almost surely, 2^{404004525550332} is an apocalyptic number.

404004525550332 is a gapful number since it is divisible by the number (42) 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 404004525550332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591494966673408).

404004525550332 is an abundant number, since it is smaller than the sum of its proper divisors (778985407796484).

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

404004525550332 is a wasteful number, since it uses less digits than its factorization.

404004525550332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46705 (or 46703 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 42.

The spelling of 404004525550332 in words is "four hundred four trillion, four billion, five hundred twenty-five million, five hundred fifty thousand, three hundred thirty-two".