404325023522400 has 1152 divisors, whose sum is σ = 1537328404684800. Its totient is φ = 102360132864000.

The previous prime is 404325023522369. The next prime is 404325023522419. The reversal of 404325023522400 is 4225320523404.

404325023522400 is a `hidden beast` number, since 4 + 0 + 43 + 2 + 50 + 2 + 3 + 522 + 40 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 152059052271 + ... + 152059054929.

It is an arithmetic number, because the mean of its divisors is an integer number (1334486462400).

Almost surely, 2^{404325023522400} is an apocalyptic number.

404325023522400 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 404325023522400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768664202342400).

404325023522400 is an abundant number, since it is smaller than the sum of its proper divisors (1133003381162400).

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

404325023522400 is a wasteful number, since it uses less digits than its factorization.

404325023522400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4889 (or 4870 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

The spelling of 404325023522400 in words is "four hundred four trillion, three hundred twenty-five billion, twenty-three million, five hundred twenty-two thousand, four hundred".