403233242332304 has 160 divisors (see below), whose sum is σ = 839906037216000. Its totient is φ = 186975331540992.

The previous prime is 403233242332303. The next prime is 403233242332331.

403233242332304 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (403233242332303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19424491877 + ... + 19424512635.

It is an arithmetic number, because the mean of its divisors is an integer number (5249412732600).

Almost surely, 2^{403233242332304} 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 403233242332304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419953018608000).

403233242332304 is an abundant number, since it is smaller than the sum of its proper divisors (436672794883696).

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

403233242332304 is a wasteful number, since it uses less digits than its factorization.

403233242332304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27385 (or 27379 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 38.

The spelling of 403233242332304 in words is "four hundred three trillion, two hundred thirty-three billion, two hundred forty-two million, three hundred thirty-two thousand, three hundred four".