32113002400 has 72 divisors (see below), whose sum is σ = 78447791520. Its totient is φ = 12836693760.

The previous prime is 32113002289. The next prime is 32113002403. The reversal of 32113002400 is 420031123.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (32113002403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1273111 + ... + 1298089.

It is an arithmetic number, because the mean of its divisors is an integer number (1089552660).

Almost surely, 2^32113002400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32113002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39223895760).

32113002400 is an abundant number, since it is smaller than the sum of its proper divisors (46334789120).

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

32113002400 is a wasteful number, since it uses less digits than its factorization.

32113002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26606 (or 26593 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 32113002400 its reverse (420031123), we get a palindrome (32533033523).

The spelling of 32113002400 in words is "thirty-two billion, one hundred thirteen million, two thousand, four hundred".