32413431000 has 128 divisors (see below), whose sum is σ = 101215296000. Its totient is φ = 8636284800.

The previous prime is 32413430947. The next prime is 32413431013. The reversal of 32413431000 is 13431423.

It is a super-2 number, since 2×32413431000² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 4193139 + ... + 4200861.

It is an arithmetic number, because the mean of its divisors is an integer number (790744500).

Almost surely, 2^32413431000 is an apocalyptic number.

32413431000 is a gapful number since it is divisible by the number (30) 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 32413431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50607648000).

32413431000 is an abundant number, since it is smaller than the sum of its proper divisors (68801865000).

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

32413431000 is a wasteful number, since it uses less digits than its factorization.

32413431000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9146 (or 9132 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 32413431000 its reverse (13431423), we get a palindrome (32426862423).

The spelling of 32413431000 in words is "thirty-two billion, four hundred thirteen million, four hundred thirty-one thousand".