42077040 has 80 divisors (see below), whose sum is σ = 138125088. Its totient is φ = 10559488.

The previous prime is 42077027. The next prime is 42077041. The reversal of 42077040 is 4077024.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42077040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42077041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1077 + ... + 9236.

Almost surely, 2^42077040 is an apocalyptic number.

42077040 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 42077040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69062544).

42077040 is an abundant number, since it is smaller than the sum of its proper divisors (96048048).

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

42077040 is a wasteful number, since it uses less digits than its factorization.

42077040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10346 (or 10340 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 24.

The square root of 42077040 is about 6486.6817403045. The cubic root of 42077040 is about 347.8150688720.

The spelling of 42077040 in words is "forty-two million, seventy-seven thousand, forty".