403401332304 has 120 divisors (see below), whose sum is σ = 1145164203560. Its totient is φ = 132539867136.

The previous prime is 403401332291. The next prime is 403401332393. The reversal of 403401332304 is 403233104304.

403401332304 is a `hidden beast` number, since 4 + 0 + 340 + 13 + 3 + 2 + 304 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 134923982400 + 268477349904 = 367320^2 + 518148^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17533032 + ... + 17556024.

Almost surely, 2^403401332304 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 403401332304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572582101780).

403401332304 is an abundant number, since it is smaller than the sum of its proper divisors (741762871256).

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

403401332304 is a wasteful number, since it uses less digits than its factorization.

403401332304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24749 (or 24740 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 403401332304 its reverse (403233104304), we get a palindrome (806634436608).

The spelling of 403401332304 in words is "four hundred three billion, four hundred one million, three hundred thirty-two thousand, three hundred four".