42738040 has 64 divisors (see below), whose sum is σ = 99532800. Its totient is φ = 16507008.

The previous prime is 42738019. The next prime is 42738077. The reversal of 42738040 is 4083724.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238671 + ... + 238849.

It is an arithmetic number, because the mean of its divisors is an integer number (1555200).

Almost surely, 2^42738040 is an apocalyptic number.

42738040 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 42738040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49766400).

42738040 is an abundant number, since it is smaller than the sum of its proper divisors (56794760).

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

42738040 is a wasteful number, since it uses less digits than its factorization.

42738040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 42738040 is about 6537.4337472742. The cubic root of 42738040 is about 349.6269221919.

The spelling of 42738040 in words is "forty-two million, seven hundred thirty-eight thousand, forty".