42134234040 has 384 divisors, whose sum is σ = 145566720000. Its totient is φ = 10554255360.

The previous prime is 42134234039. The next prime is 42134234053. The reversal of 42134234040 is 4043243124.

It is a happy number.

42134234040 is a `hidden beast` number, since 4 + 213 + 42 + 3 + 404 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 42134233995 and 42134234013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58600801 + ... + 58601519.

It is an arithmetic number, because the mean of its divisors is an integer number (379080000).

Almost surely, 2^42134234040 is an apocalyptic number.

42134234040 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 42134234040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72783360000).

42134234040 is an abundant number, since it is smaller than the sum of its proper divisors (103432485960).

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

42134234040 is a wasteful number, since it uses less digits than its factorization.

42134234040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 42134234040 its reverse (4043243124), we get a palindrome (46177477164).

The spelling of 42134234040 in words is "forty-two billion, one hundred thirty-four million, two hundred thirty-four thousand, forty".