42791040 has 384 divisors, whose sum is σ = 171849600. Its totient is φ = 9732096.

The previous prime is 42791039. The next prime is 42791081. The reversal of 42791040 is 4019724.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 42790995 and 42791013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1860469 + ... + 1860491.

It is an arithmetic number, because the mean of its divisors is an integer number (447525).

Almost surely, 2^42791040 is an apocalyptic number.

42791040 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 42791040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85924800).

42791040 is an abundant number, since it is smaller than the sum of its proper divisors (129058560).

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

42791040 is a wasteful number, since it uses less digits than its factorization.

42791040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 42791040 is about 6541.4860696939. The cubic root of 42791040 is about 349.7713881235.

The spelling of 42791040 in words is "forty-two million, seven hundred ninety-one thousand, forty".