42019327680 has 448 divisors, whose sum is σ = 148654227456. Its totient is φ = 9971200000.

The previous prime is 42019327633. The next prime is 42019327711. The reversal of 42019327680 is 8672391024.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 167407555 + ... + 167407805.

It is an arithmetic number, because the mean of its divisors is an integer number (331817472).

Almost surely, 2^42019327680 is an apocalyptic number.

42019327680 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 42019327680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74327113728).

42019327680 is an abundant number, since it is smaller than the sum of its proper divisors (106634899776).

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

42019327680 is a wasteful number, since it uses less digits than its factorization.

42019327680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 42019327680 in words is "forty-two billion, nineteen million, three hundred twenty-seven thousand, six hundred eighty".