42591840 has 96 divisors (see below), whose sum is σ = 135807840. Its totient is φ = 11218944.

The previous prime is 42591811. The next prime is 42591841. The reversal of 42591840 is 4819524.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42591841) 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 15 ways as a sum of consecutive naturals, for example, 42222 + ... + 43218.

It is an arithmetic number, because the mean of its divisors is an integer number (1414665).

Almost surely, 2^42591840 is an apocalyptic number.

42591840 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 42591840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67903920).

42591840 is an abundant number, since it is smaller than the sum of its proper divisors (93216000).

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

42591840 is a wasteful number, since it uses less digits than its factorization.

42591840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 42591840 is about 6526.2424104534. The cubic root of 42591840 is about 349.2277941319.

The spelling of 42591840 in words is "forty-two million, five hundred ninety-one thousand, eight hundred forty".