432431530100040 has 128 divisors (see below), whose sum is σ = 1299486958761600. Its totient is φ = 115120225228800.

The previous prime is 432431530099981. The next prime is 432431530100057. The reversal of 432431530100040 is 40001035134234.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 432431530099980 and 432431530100007.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1032356884 + ... + 1032775676.

It is an arithmetic number, because the mean of its divisors is an integer number (10152241865325).

Almost surely, 2^{432431530100040} is an apocalyptic number.

432431530100040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

432431530100040 is an abundant number, since it is smaller than the sum of its proper divisors (867055428661560).

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

432431530100040 is a wasteful number, since it uses less digits than its factorization.

432431530100040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433327 (or 433323 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 432431530100040 its reverse (40001035134234), we get a palindrome (472432565234274).

The spelling of 432431530100040 in words is "four hundred thirty-two trillion, four hundred thirty-one billion, five hundred thirty million, one hundred thousand, forty".