32081581440 has 256 divisors, whose sum is σ = 113879001600. Its totient is φ = 8535767040.

The previous prime is 32081581417. The next prime is 32081581507. The reversal of 32081581440 is 4418518023.

32081581440 is a `hidden beast` number, since 3 + 208 + 1 + 5 + 8 + 1 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 32081581395 and 32081581404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8689995 + ... + 8693685.

It is an arithmetic number, because the mean of its divisors is an integer number (444839850).

Almost surely, 2^32081581440 is an apocalyptic number.

32081581440 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 32081581440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56939500800).

32081581440 is an abundant number, since it is smaller than the sum of its proper divisors (81797420160).

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

32081581440 is a wasteful number, since it uses less digits than its factorization.

32081581440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4222 (or 4204 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 32081581440 in words is "thirty-two billion, eighty-one million, five hundred eighty-one thousand, four hundred forty".