32234113440 has 288 divisors, whose sum is σ = 116776807056. Its totient is φ = 8068792320.

The previous prime is 32234113421. The next prime is 32234113469. The reversal of 32234113440 is 4431143223.

It can be written as a sum of positive squares in 8 ways, for example, as 21640763664 + 10593349776 = 147108^2 + 102924^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10598320 + ... + 10601360.

Almost surely, 2^32234113440 is an apocalyptic number.

32234113440 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 32234113440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58388403528).

32234113440 is an abundant number, since it is smaller than the sum of its proper divisors (84542693616).

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

32234113440 is a wasteful number, since it uses less digits than its factorization.

32234113440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3512 (or 3501 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 32234113440 its reverse (4431143223), we get a palindrome (36665256663).

The spelling of 32234113440 in words is "thirty-two billion, two hundred thirty-four million, one hundred thirteen thousand, four hundred forty".