42741614160 has 480 divisors, whose sum is σ = 176223840000. Its totient is φ = 9254310912.

The previous prime is 42741614131. The next prime is 42741614177. The reversal of 42741614160 is 6141614724.

It is a happy number.

42741614160 is a `hidden beast` number, since 4 + 27 + 4 + 1 + 614 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 4687686 + ... + 4696794.

It is an arithmetic number, because the mean of its divisors is an integer number (367133000).

Almost surely, 2^42741614160 is an apocalyptic number.

42741614160 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 42741614160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88111920000).

42741614160 is an abundant number, since it is smaller than the sum of its proper divisors (133482225840).

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

42741614160 is a wasteful number, since it uses less digits than its factorization.

42741614160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9168 (or 9145 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 42741614160 in words is "forty-two billion, seven hundred forty-one million, six hundred fourteen thousand, one hundred sixty".