32429825314432 has 128 divisors (see below), whose sum is σ = 79551014860800. Its totient is φ = 12823641169920.

The previous prime is 32429825314373. The next prime is 32429825314459. The reversal of 32429825314432 is 23441352892423.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 32429825314432.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25458132 + ... + 26701612.

It is an arithmetic number, because the mean of its divisors is an integer number (621492303600).

Almost surely, 2^{32429825314432} is an apocalyptic number.

32429825314432 is a gapful number since it is divisible by the number (32) 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 32429825314432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39775507430400).

32429825314432 is an abundant number, since it is smaller than the sum of its proper divisors (47121189546368).

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

32429825314432 is a wasteful number, since it uses less digits than its factorization.

32429825314432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245754 (or 1245742 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 52.

The spelling of 32429825314432 in words is "thirty-two trillion, four hundred twenty-nine billion, eight hundred twenty-five million, three hundred fourteen thousand, four hundred thirty-two".