32440145477712 has 320 divisors, whose sum is σ = 101595697459200. Its totient is φ = 8722059816960.

The previous prime is 32440145477657. The next prime is 32440145477749. The reversal of 32440145477712 is 21777454104423.

It is a congruent number.

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, 407054733 + ... + 407134419.

It is an arithmetic number, because the mean of its divisors is an integer number (317486554560).

Almost surely, 2^{32440145477712} 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 32440145477712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50797848729600).

32440145477712 is an abundant number, since it is smaller than the sum of its proper divisors (69155551981488).

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

32440145477712 is a wasteful number, since it uses less digits than its factorization.

32440145477712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80794 (or 80788 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 51.

The spelling of 32440145477712 in words is "thirty-two trillion, four hundred forty billion, one hundred forty-five million, four hundred seventy-seven thousand, seven hundred twelve".