32180741040 has 320 divisors, whose sum is σ = 116208276480. Its totient is φ = 7215267840.

The previous prime is 32180741027. The next prime is 32180741059. The reversal of 32180741040 is 4014708123.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 32180740989 and 32180741007.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20483455 + ... + 20485025.

It is an arithmetic number, because the mean of its divisors is an integer number (363150864).

Almost surely, 2^32180741040 is an apocalyptic number.

32180741040 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 32180741040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58104138240).

32180741040 is an abundant number, since it is smaller than the sum of its proper divisors (84027535440).

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

32180741040 is a wasteful number, since it uses less digits than its factorization.

32180741040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820 (or 1814 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 32180741040 in words is "thirty-two billion, one hundred eighty million, seven hundred forty-one thousand, forty".