403241142304 has 1152 divisors, whose sum is σ = 1225237708800. Its totient is φ = 126456422400.

The previous prime is 403241142277. The next prime is 403241142307.

403241142304 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (403241142307) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6018524479 + ... + 6018524545.

It is an arithmetic number, because the mean of its divisors is an integer number (1063574400).

Almost surely, 2^403241142304 is an apocalyptic number.

403241142304 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 403241142304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612618854400).

403241142304 is an abundant number, since it is smaller than the sum of its proper divisors (821996566496).

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

403241142304 is a wasteful number, since it uses less digits than its factorization.

403241142304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

It can be divided in two parts, 403241 and 142304, that added together give a palindrome (545545).

The spelling of 403241142304 in words is "four hundred three billion, two hundred forty-one million, one hundred forty-two thousand, three hundred four".