42190337280 has 288 divisors, whose sum is σ = 165841853184. Its totient is φ = 8901623808.

The previous prime is 42190337279. The next prime is 42190337323. The reversal of 42190337280 is 8273309124.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289072 + ... + 409808.

It is an arithmetic number, because the mean of its divisors is an integer number (575839768).

Almost surely, 2^42190337280 is an apocalyptic number.

42190337280 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 42190337280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82920926592).

42190337280 is an abundant number, since it is smaller than the sum of its proper divisors (123651515904).

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

42190337280 is a wasteful number, since it uses less digits than its factorization.

42190337280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120781 (or 120767 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 42190337280 in words is "forty-two billion, one hundred ninety million, three hundred thirty-seven thousand, two hundred eighty".