32101413140 has 96 divisors (see below), whose sum is σ = 75635078400. Its totient is φ = 11373004800.

The previous prime is 32101413131. The next prime is 32101413143. The reversal of 32101413140 is 4131410123.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32101413143) 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 31 ways as a sum of consecutive naturals, for example, 959006 + ... + 991914.

It is an arithmetic number, because the mean of its divisors is an integer number (787865400).

Almost surely, 2^32101413140 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 32101413140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37817539200).

32101413140 is an abundant number, since it is smaller than the sum of its proper divisors (43533665260).

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

32101413140 is a wasteful number, since it uses less digits than its factorization.

32101413140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33105 (or 33103 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 32101413140 its reverse (4131410123), we get a palindrome (36232823263).

The spelling of 32101413140 in words is "thirty-two billion, one hundred one million, four hundred thirteen thousand, one hundred forty".