404025253152312 has 128 divisors (see below), whose sum is σ = 1117541373350400. Its totient is φ = 120692942092800.

The previous prime is 404025253152299. The next prime is 404025253152337. The reversal of 404025253152312 is 213251352520404.

It is a super-3 number, since 3×404025253152312³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154598014 + ... + 157189682.

It is an arithmetic number, because the mean of its divisors is an integer number (8730791979300).

Almost surely, 2^{404025253152312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404025253152312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558770686675200).

404025253152312 is an abundant number, since it is smaller than the sum of its proper divisors (713516120198088).

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

404025253152312 is a wasteful number, since it uses less digits than its factorization.

404025253152312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2600077 (or 2600073 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 39.

The spelling of 404025253152312 in words is "four hundred four trillion, twenty-five billion, two hundred fifty-three million, one hundred fifty-two thousand, three hundred twelve".