42434457120 has 768 divisors, whose sum is σ = 174675916800. Its totient is φ = 9510359040.

The previous prime is 42434457113. The next prime is 42434457137. The reversal of 42434457120 is 2175443424.

42434457120 is a `hidden beast` number, since 4 + 2 + 43 + 44 + 571 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38823294 + ... + 38824386.

It is an arithmetic number, because the mean of its divisors is an integer number (227442600).

Almost surely, 2^42434457120 is an apocalyptic number.

42434457120 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 42434457120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87337958400).

42434457120 is an abundant number, since it is smaller than the sum of its proper divisors (132241459680).

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

42434457120 is a wasteful number, since it uses less digits than its factorization.

42434457120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 42434457120 in words is "forty-two billion, four hundred thirty-four million, four hundred fifty-seven thousand, one hundred twenty".