42797825280 has 576 divisors, whose sum is σ = 182723788800. Its totient is φ = 9266503680.

The previous prime is 42797825251. The next prime is 42797825281. The reversal of 42797825280 is 8252879724.

42797825280 is a `hidden beast` number, since 4 + 27 + 97 + 8 + 2 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42797825281) 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, 4591825 + ... + 4601135.

It is an arithmetic number, because the mean of its divisors is an integer number (317228800).

Almost surely, 2^42797825280 is an apocalyptic number.

42797825280 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 42797825280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91361894400).

42797825280 is an abundant number, since it is smaller than the sum of its proper divisors (139925963520).

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

42797825280 is a wasteful number, since it uses less digits than its factorization.

42797825280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9367 (or 9347 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 42797825280 in words is "forty-two billion, seven hundred ninety-seven million, eight hundred twenty-five thousand, two hundred eighty".