42796241584320 has 448 divisors, whose sum is σ = 162066945116160. Its totient is φ = 9355191386112.

The previous prime is 42796241584277. The next prime is 42796241584361. The reversal of 42796241584320 is 2348514269724.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1157481354 + ... + 1157518326.

It is an arithmetic number, because the mean of its divisors is an integer number (361756573920).

It is a 1-persistent number, because it is pandigital, but 2⋅42796241584320 = 85592483168640 is not.

Almost surely, 2^{42796241584320} is an apocalyptic number.

42796241584320 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 42796241584320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81033472558080).

42796241584320 is an abundant number, since it is smaller than the sum of its proper divisors (119270703531840).

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

42796241584320 is a wasteful number, since it uses less digits than its factorization.

42796241584320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44512 (or 44502 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 57.

The spelling of 42796241584320 in words is "forty-two trillion, seven hundred ninety-six billion, two hundred forty-one million, five hundred eighty-four thousand, three hundred twenty".