42379040 has 96 divisors (see below), whose sum is σ = 110678400. Its totient is φ = 15333120.

The previous prime is 42379039. The next prime is 42379069. The reversal of 42379040 is 4097324.

It is a junction number, because it is equal to n+sod(n) for n = 42378994 and 42379012.

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, 212861 + ... + 213059.

It is an arithmetic number, because the mean of its divisors is an integer number (1152900).

Almost surely, 2^42379040 is an apocalyptic number.

42379040 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 42379040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55339200).

42379040 is an abundant number, since it is smaller than the sum of its proper divisors (68299360).

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

42379040 is a wasteful number, since it uses less digits than its factorization.

42379040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 42379040 is about 6509.9185862805. The cubic root of 42379040 is about 348.6452115985.

The spelling of 42379040 in words is "forty-two million, three hundred seventy-nine thousand, forty".