32400441144 has 96 divisors (see below), whose sum is σ = 92524224000. Its totient is φ = 10214600256.

The previous prime is 32400441131. The next prime is 32400441149. The reversal of 32400441144 is 44114400423.

32400441144 is a `hidden beast` number, since 3 + 240 + 0 + 4 + 411 + 4 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32400441149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 810867 + ... + 849885.

It is an arithmetic number, because the mean of its divisors is an integer number (963794000).

Almost surely, 2^32400441144 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 32400441144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46262112000).

32400441144 is an abundant number, since it is smaller than the sum of its proper divisors (60123782856).

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

32400441144 is a wasteful number, since it uses less digits than its factorization.

32400441144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39657 (or 39650 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 32400441144 its reverse (44114400423), we get a palindrome (76514841567).

The spelling of 32400441144 in words is "thirty-two billion, four hundred million, four hundred forty-one thousand, one hundred forty-four".