32890721440 has 96 divisors (see below), whose sum is σ = 83044833984. Its totient is φ = 12266557440.

The previous prime is 32890721431. The next prime is 32890721449. The reversal of 32890721440 is 4412709823.

It is an interprime number because it is at equal distance from previous prime (32890721431) and next prime (32890721449).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 32890721393 and 32890721402.

It is not an unprimeable number, because it can be changed into a prime (32890721449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234535 + ... + 347545.

It is an arithmetic number, because the mean of its divisors is an integer number (865050354).

Almost surely, 2^32890721440 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 32890721440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41522416992).

32890721440 is an abundant number, since it is smaller than the sum of its proper divisors (50154112544).

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

32890721440 is a wasteful number, since it uses less digits than its factorization.

32890721440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113150 (or 113142 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 32890721440 in words is "thirty-two billion, eight hundred ninety million, seven hundred twenty-one thousand, four hundred forty".