42245189280 has 576 divisors, whose sum is σ = 179497140480. Its totient is φ = 9235150848.

The previous prime is 42245189267. The next prime is 42245189281. The reversal of 42245189280 is 8298154224.

42245189280 is a `hidden beast` number, since 42 + 2 + 4 + 518 + 92 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (42245189281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4864302 + ... + 4872978.

It is an arithmetic number, because the mean of its divisors is an integer number (311626980).

Almost surely, 2^42245189280 is an apocalyptic number.

42245189280 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 42245189280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89748570240).

42245189280 is an abundant number, since it is smaller than the sum of its proper divisors (137251951200).

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

42245189280 is a wasteful number, since it uses less digits than its factorization.

42245189280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8738 (or 8717 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 42245189280 in words is "forty-two billion, two hundred forty-five million, one hundred eighty-nine thousand, two hundred eighty".