32825261440 has 256 divisors, whose sum is σ = 84144614400. Its totient is φ = 12217835520.

The previous prime is 32825261423. The next prime is 32825261449. The reversal of 32825261440 is 4416252823.

It is a self number, because there is not a number n which added to its sum of digits gives 32825261440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32825261449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124810749 + ... + 124811011.

It is an arithmetic number, because the mean of its divisors is an integer number (328689900).

Almost surely, 2^32825261440 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 32825261440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42072307200).

32825261440 is an abundant number, since it is smaller than the sum of its proper divisors (51319352960).

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

32825261440 is a wasteful number, since it uses less digits than its factorization.

32825261440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The spelling of 32825261440 in words is "thirty-two billion, eight hundred twenty-five million, two hundred sixty-one thousand, four hundred forty".