42777240 has 128 divisors (see below), whose sum is σ = 146188800. Its totient is φ = 9912320.

The previous prime is 42777199. The next prime is 42777247. The reversal of 42777240 is 4277724.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42777247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29656 + ... + 31064.

It is an arithmetic number, because the mean of its divisors is an integer number (1142100).

Almost surely, 2^42777240 is an apocalyptic number.

42777240 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 42777240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73094400).

42777240 is an abundant number, since it is smaller than the sum of its proper divisors (103411560).

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

42777240 is a wasteful number, since it uses less digits than its factorization.

42777240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 33.

The square root of 42777240 is about 6540.4311784469. The cubic root of 42777240 is about 349.7337839574.

The spelling of 42777240 in words is "forty-two million, seven hundred seventy-seven thousand, two hundred forty".