32031481681920 has 384 divisors, whose sum is σ = 117179171665920. Its totient is φ = 7317476474880.

The previous prime is 32031481681891. The next prime is 32031481681949. The reversal of 32031481681920 is 2918618413023.

It is an interprime number because it is at equal distance from previous prime (32031481681891) and next prime (32031481681949).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 32031481681920.

It is a congruent number.

It is an unprimeable number.

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, 402300034 + ... + 402379646.

It is an arithmetic number, because the mean of its divisors is an integer number (305154092880).

Almost surely, 2^{32031481681920} is an apocalyptic number.

32031481681920 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 32031481681920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58589585832960).

32031481681920 is an abundant number, since it is smaller than the sum of its proper divisors (85147689984000).

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

32031481681920 is a wasteful number, since it uses less digits than its factorization.

32031481681920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81521 (or 81501 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 32031481681920 in words is "thirty-two trillion, thirty-one billion, four hundred eighty-one million, six hundred eighty-one thousand, nine hundred twenty".