42832901359360 has 576 divisors, whose sum is σ = 124594194816000. Its totient is φ = 13781532672000.

The previous prime is 42832901359321. The next prime is 42832901359363. The reversal of 42832901359360 is 6395310923824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42832901359363) 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, 10171667655 + ... + 10171671865.

It is an arithmetic number, because the mean of its divisors is an integer number (216309366000).

Almost surely, 2^{42832901359360} is an apocalyptic number.

42832901359360 is a gapful number since it is divisible by the number (40) 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 42832901359360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62297097408000).

42832901359360 is an abundant number, since it is smaller than the sum of its proper divisors (81761293456640).

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

42832901359360 is a wasteful number, since it uses less digits than its factorization.

42832901359360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4808 (or 4794 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 55.

The spelling of 42832901359360 in words is "forty-two trillion, eight hundred thirty-two billion, nine hundred one million, three hundred fifty-nine thousand, three hundred sixty".