42134640 has 60 divisors (see below), whose sum is σ = 130929864. Its totient is φ = 11209088.

The previous prime is 42134639. The next prime is 42134641. The reversal of 42134640 is 4643124.

It is an interprime number because it is at equal distance from previous prime (42134639) and next prime (42134641).

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42134640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42134641) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 100351 + ... + 100769.

Almost surely, 2^42134640 is an apocalyptic number.

42134640 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 42134640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65464932).

42134640 is an abundant number, since it is smaller than the sum of its proper divisors (88795224).

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

42134640 is an equidigital number, since it uses as much as digits as its factorization.

42134640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 42134640 is about 6491.1200882436. The cubic root of 42134640 is about 347.9737065615.

Adding to 42134640 its reverse (4643124), we get a palindrome (46777764).

The spelling of 42134640 in words is "forty-two million, one hundred thirty-four thousand, six hundred forty".