42434565120 has 308 divisors, whose sum is σ = 152633449620. Its totient is φ = 11314888704.

The previous prime is 42434565119. The next prime is 42434565191. The reversal of 42434565120 is 2156543424.

42434565120 is a `hidden beast` number, since 42 + 4 + 34 + 565 + 1 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19833652224 + 22600912896 = 140832^2 + 150336^2 .

It is a super-2 number, since 2×42434565120² (a number of 22 digits) contains 22 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3726796 + ... + 3738164.

Almost surely, 2^42434565120 is an apocalyptic number.

42434565120 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 42434565120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76316724810).

42434565120 is an abundant number, since it is smaller than the sum of its proper divisors (110198884500).

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

42434565120 is an equidigital number, since it uses as much as digits as its factorization.

42434565120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11412 (or 11379 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 42434565120 in words is "forty-two billion, four hundred thirty-four million, five hundred sixty-five thousand, one hundred twenty".