42278040 has 192 divisors, whose sum is σ = 165484800. Its totient is φ = 9144576.

The previous prime is 42278029. The next prime is 42278053. The reversal of 42278040 is 4087224.

It is a junction number, because it is equal to n+sod(n) for n = 42277995 and 42278013.

It is a congruent number.

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, 47439 + ... + 48321.

It is an arithmetic number, because the mean of its divisors is an integer number (861900).

Almost surely, 2^42278040 is an apocalyptic number.

42278040 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 42278040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82742400).

42278040 is an abundant number, since it is smaller than the sum of its proper divisors (123206760).

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

42278040 is a wasteful number, since it uses less digits than its factorization.

42278040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 42278040 is about 6502.1565653251. The cubic root of 42278040 is about 348.3680212906.

The spelling of 42278040 in words is "forty-two million, two hundred seventy-eight thousand, forty".