432331310040 has 384 divisors, whose sum is σ = 1597876968960. Its totient is φ = 93109395456.

The previous prime is 432331310029. The next prime is 432331310053. The reversal of 432331310040 is 40013133234.

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 95 ways as a sum of consecutive naturals, for example, 9037224 + ... + 9084936.

It is an arithmetic number, because the mean of its divisors is an integer number (4161137940).

Almost surely, 2^432331310040 is an apocalyptic number.

432331310040 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 432331310040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798938484480).

432331310040 is an abundant number, since it is smaller than the sum of its proper divisors (1165545658920).

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

432331310040 is a wasteful number, since it uses less digits than its factorization.

432331310040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47831 (or 47820 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 432331310040 its reverse (40013133234), we get a palindrome (472344443274).

It can be divided in two parts, 432331 and 310040, that added together give a triangular number (742371 = T₁₂₁₈).

The spelling of 432331310040 in words is "four hundred thirty-two billion, three hundred thirty-one million, three hundred ten thousand, forty".