42084388920 has 192 divisors, whose sum is σ = 153251896320. Its totient is φ = 9201029376.

The previous prime is 42084388901. The next prime is 42084388961. The reversal of 42084388920 is 2988348024.

It is a self number, because there is not a number n which added to its sum of digits gives 42084388920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20352 + ... + 290831.

It is an arithmetic number, because the mean of its divisors is an integer number (798186960).

Almost surely, 2^42084388920 is an apocalyptic number.

42084388920 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 42084388920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76625948160).

42084388920 is an abundant number, since it is smaller than the sum of its proper divisors (111167507400).

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

42084388920 is a wasteful number, since it uses less digits than its factorization.

42084388920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311234 (or 311223 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 42084388920 in words is "forty-two billion, eighty-four million, three hundred eighty-eight thousand, nine hundred twenty".