42090782611680 has 288 divisors, whose sum is σ = 156940865722368. Its totient is φ = 10187652787200.

The previous prime is 42090782611679. The next prime is 42090782611681. The reversal of 42090782611680 is 8611628709024.

It is a happy number.

42090782611680 is a `hidden beast` number, since 420 + 9 + 0 + 7 + 8 + 26 + 116 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (42090782611679) and next prime (42090782611681).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42090782611681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7889457 + ... + 12100623.

It is an arithmetic number, because the mean of its divisors is an integer number (544933561536).

Almost surely, 2^{42090782611680} is an apocalyptic number.

42090782611680 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 42090782611680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78470432861184).

42090782611680 is an abundant number, since it is smaller than the sum of its proper divisors (114850083110688).

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

42090782611680 is a wasteful number, since it uses less digits than its factorization.

42090782611680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4211830 (or 4211819 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 42090782611680 in words is "forty-two trillion, ninety billion, seven hundred eighty-two million, six hundred eleven thousand, six hundred eighty".