432131040 has 144 divisors (see below), whose sum is σ = 1608764976. Its totient is φ = 104755200.

The previous prime is 432130999. The next prime is 432131057. The reversal of 432131040 is 40131234.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 2200 + ... + 29480.

It is an arithmetic number, because the mean of its divisors is an integer number (11171979).

Almost surely, 2^432131040 is an apocalyptic number.

432131040 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 432131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804382488).

432131040 is an abundant number, since it is smaller than the sum of its proper divisors (1176633936).

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

432131040 is a wasteful number, since it uses less digits than its factorization.

432131040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27313 (or 27302 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 432131040 is about 20787.7617842807. The cubic root of 432131040 is about 756.0290574201.

Adding to 432131040 its reverse (40131234), we get a palindrome (472262274).

It can be divided in two parts, 43213 and 1040, that added together give a triangular number (44253 = T₂₉₇).

The spelling of 432131040 in words is "four hundred thirty-two million, one hundred thirty-one thousand, forty".