42134456 has 64 divisors (see below), whose sum is σ = 100423680. Its totient is φ = 16122240.

The previous prime is 42134431. The next prime is 42134467. The reversal of 42134456 is 65443124.

42134456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (11520) is a multiple of the sum of its prime divisors (1920).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21635 + ... + 23501.

It is an arithmetic number, because the mean of its divisors is an integer number (1569120).

Almost surely, 2^42134456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42134456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50211840).

42134456 is an abundant number, since it is smaller than the sum of its proper divisors (58289224).

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

42134456 is a wasteful number, since it uses less digits than its factorization.

42134456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924 (or 1920 counting only the distinct ones).

The product of its digits is 11520, while the sum is 29.

The square root of 42134456 is about 6491.1059150194. The cubic root of 42134456 is about 347.9732000324.

It can be divided in two parts, 4213 and 4456, that multiplied together give a triangular number (18773128 = T₆₁₂₇).

The spelling of 42134456 in words is "forty-two million, one hundred thirty-four thousand, four hundred fifty-six".