4303312431040 has 896 divisors, whose sum is σ = 12847972515840. Its totient is φ = 1341204480000.

The previous prime is 4303312430999. The next prime is 4303312431053. The reversal of 4303312431040 is 401342133034.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17144670915 + ... + 17144671165.

It is an arithmetic number, because the mean of its divisors is an integer number (14339255040).

Almost surely, 2^{4303312431040} is an apocalyptic number.

4303312431040 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 4303312431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6423986257920).

4303312431040 is an abundant number, since it is smaller than the sum of its proper divisors (8544660084800).

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

4303312431040 is a wasteful number, since it uses less digits than its factorization.

4303312431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 4303312431040 its reverse (401342133034), we get a palindrome (4704654564074).

The spelling of 4303312431040 in words is "four trillion, three hundred three billion, three hundred twelve million, four hundred thirty-one thousand, forty".