42571941120 has 360 divisors, whose sum is σ = 160354988640. Its totient is φ = 10754519040.

The previous prime is 42571941119. The next prime is 42571941173. The reversal of 42571941120 is 2114917524.

42571941120 is a `hidden beast` number, since 42 + 571 + 9 + 41 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1959115 + ... + 1980725.

It is an arithmetic number, because the mean of its divisors is an integer number (445430524).

Almost surely, 2^42571941120 is an apocalyptic number.

42571941120 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 42571941120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80177494320).

42571941120 is an abundant number, since it is smaller than the sum of its proper divisors (117783047520).

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

42571941120 is a wasteful number, since it uses less digits than its factorization.

42571941120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21663 (or 21640 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 42571941120 in words is "forty-two billion, five hundred seventy-one million, nine hundred forty-one thousand, one hundred twenty".