42279440 has 80 divisors (see below), whose sum is σ = 113587968. Its totient is φ = 14335488.

The previous prime is 42279439. The next prime is 42279467. The reversal of 42279440 is 4497224.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 42279397 and 42279406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57314 + ... + 58046.

Almost surely, 2^42279440 is an apocalyptic number.

42279440 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 42279440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56793984).

42279440 is an abundant number, since it is smaller than the sum of its proper divisors (71308528).

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

42279440 is a wasteful number, since it uses less digits than its factorization.

42279440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 42279440 is about 6502.2642210233. The cubic root of 42279440 is about 348.3718665481.

The spelling of 42279440 in words is "forty-two million, two hundred seventy-nine thousand, four hundred forty".