42775040 has 240 divisors, whose sum is σ = 134348544. Its totient is φ = 12902400.

The previous prime is 42775021. The next prime is 42775063. The reversal of 42775040 is 4057724.

It is a junction number, because it is equal to n+sod(n) for n = 42774994 and 42775012.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1379825 + ... + 1379855.

Almost surely, 2^42775040 is an apocalyptic number.

42775040 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 42775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67174272).

42775040 is an abundant number, since it is smaller than the sum of its proper divisors (91573504).

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

42775040 is a wasteful number, since it uses less digits than its factorization.

42775040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 29.

The square root of 42775040 is about 6540.2629916541. The cubic root of 42775040 is about 349.7277883429.

The spelling of 42775040 in words is "forty-two million, seven hundred seventy-five thousand, forty".