42184819159040 has 208 divisors, whose sum is σ = 101562527118528. Its totient is φ = 16818795184128.

The previous prime is 42184819158953. The next prime is 42184819159073. The reversal of 42184819159040 is 4095191848124.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9817270172 + ... + 9817274468.

Almost surely, 2^{42184819159040} is an apocalyptic number.

42184819159040 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 42184819159040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50781263559264).

42184819159040 is an abundant number, since it is smaller than the sum of its proper divisors (59377707959488).

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

42184819159040 is an equidigital number, since it uses as much as digits as its factorization.

42184819159040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5782 (or 5760 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 56.

The spelling of 42184819159040 in words is "forty-two trillion, one hundred eighty-four billion, eight hundred nineteen million, one hundred fifty-nine thousand, forty".