401233400304 has 320 divisors, whose sum is σ = 1196409139200. Its totient is φ = 114685542400.

The previous prime is 401233400233. The next prime is 401233400333. The reversal of 401233400304 is 403004332104.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 284763952 + ... + 284765360.

It is an arithmetic number, because the mean of its divisors is an integer number (3738778560).

Almost surely, 2^401233400304 is an apocalyptic number.

401233400304 is a gapful number since it is divisible by the number (44) 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 401233400304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598204569600).

401233400304 is an abundant number, since it is smaller than the sum of its proper divisors (795175738896).

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

401233400304 is a wasteful number, since it uses less digits than its factorization.

401233400304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1764 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 401233400304 its reverse (403004332104), we get a palindrome (804237732408).

The spelling of 401233400304 in words is "four hundred one billion, two hundred thirty-three million, four hundred thousand, three hundred four".