42124640 has 72 divisors (see below), whose sum is σ = 105833952. Its totient is φ = 15841280.

The previous prime is 42124637. The next prime is 42124651. The reversal of 42124640 is 4642124.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45785 + ... + 46695.

It is an arithmetic number, because the mean of its divisors is an integer number (1469916).

Almost surely, 2^42124640 is an apocalyptic number.

42124640 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 42124640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52916976).

42124640 is an abundant number, since it is smaller than the sum of its proper divisors (63709312).

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

42124640 is a wasteful number, since it uses less digits than its factorization.

42124640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 42124640 is about 6490.3497594506. The cubic root of 42124640 is about 347.9461756717.

Adding to 42124640 its reverse (4642124), we get a palindrome (46766764).

The spelling of 42124640 in words is "forty-two million, one hundred twenty-four thousand, six hundred forty".