32830473599040 has 448 divisors, whose sum is σ = 112596071341824. Its totient is φ = 8056823611392.

The previous prime is 32830473599039. The next prime is 32830473599047. The reversal of 32830473599040 is 4099537403823.

It is not an unprimeable number, because it can be changed into a prime (32830473599047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11332574872 + ... + 11332577768.

It is an arithmetic number, because the mean of its divisors is an integer number (251330516388).

Almost surely, 2^{32830473599040} is an apocalyptic number.

32830473599040 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 32830473599040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56298035670912).

32830473599040 is an abundant number, since it is smaller than the sum of its proper divisors (79765597742784).

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

32830473599040 is a wasteful number, since it uses less digits than its factorization.

32830473599040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5374 (or 5364 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 57.

The spelling of 32830473599040 in words is "thirty-two trillion, eight hundred thirty billion, four hundred seventy-three million, five hundred ninety-nine thousand, forty".