32013400144 has 80 divisors (see below), whose sum is σ = 68683461120. Its totient is φ = 14332999680.

The previous prime is 32013400129. The next prime is 32013400157. The reversal of 32013400144 is 44100431023.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14504289 + ... + 14506495.

It is an arithmetic number, because the mean of its divisors is an integer number (858543264).

Almost surely, 2^32013400144 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 32013400144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34341730560).

32013400144 is an abundant number, since it is smaller than the sum of its proper divisors (36670060976).

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

32013400144 is a wasteful number, since it uses less digits than its factorization.

32013400144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3428 (or 3422 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 32013400144 its reverse (44100431023), we get a palindrome (76113831167).

The spelling of 32013400144 in words is "thirty-two billion, thirteen million, four hundred thousand, one hundred forty-four".