32961799933440 has 1280 divisors, whose sum is σ = 127434543667200. Its totient is φ = 7259832975360.

The previous prime is 32961799933423. The next prime is 32961799933453. The reversal of 32961799933440 is 4433999716923.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8964316882 + ... + 8964320558.

It is an arithmetic number, because the mean of its divisors is an integer number (99558237240).

Almost surely, 2^{32961799933440} is an apocalyptic number.

32961799933440 is a gapful number since it is divisible by the number (30) 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 32961799933440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63717271833600).

32961799933440 is an abundant number, since it is smaller than the sum of its proper divisors (94472743733760).

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

32961799933440 is an equidigital number, since it uses as much as digits as its factorization.

32961799933440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3848 (or 3818 counting only the distinct ones).

The product of its (nonzero) digits is 238085568, while the sum is 69.

The spelling of 32961799933440 in words is "thirty-two trillion, nine hundred sixty-one billion, seven hundred ninety-nine million, nine hundred thirty-three thousand, four hundred forty".