32961405120 has 112 divisors (see below), whose sum is σ = 119602837248. Its totient is φ = 7534033920.

The previous prime is 32961405109. The next prime is 32961405137. The reversal of 32961405120 is 2150416923.

It is a tau number, because it is divible by the number of its divisors (112).

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, 2445766 + ... + 2459205.

Almost surely, 2^32961405120 is an apocalyptic number.

32961405120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32961405120 is an abundant number, since it is smaller than the sum of its proper divisors (86641432128).

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

32961405120 is a wasteful number, since it uses less digits than its factorization.

32961405120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4904998 (or 4904988 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 32961405120 in words is "thirty-two billion, nine hundred sixty-one million, four hundred five thousand, one hundred twenty".