42664440 has 128 divisors (see below), whose sum is σ = 157570560. Its totient is φ = 8999424.

The previous prime is 42664381. The next prime is 42664451. The reversal of 42664440 is 4446624.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 42664398 and 42664407.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 8967 + ... + 12873.

It is an arithmetic number, because the mean of its divisors is an integer number (1231020).

Almost surely, 2^42664440 is an apocalyptic number.

42664440 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 42664440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78785280).

42664440 is an abundant number, since it is smaller than the sum of its proper divisors (114906120).

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

42664440 is a wasteful number, since it uses less digits than its factorization.

42664440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3941 (or 3937 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 42664440 is about 6531.8022015367. The cubic root of 42664440 is about 349.4261071247.

The spelling of 42664440 in words is "forty-two million, six hundred sixty-four thousand, four hundred forty".