4042613280 has 384 divisors, whose sum is σ = 14089420800. Its totient is φ = 970444800.

The previous prime is 4042613273. The next prime is 4042613287. The reversal of 4042613280 is 823162404.

It is an interprime number because it is at equal distance from previous prime (4042613273) and next prime (4042613287).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (4042613287) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22334790 + ... + 22334970.

It is an arithmetic number, because the mean of its divisors is an integer number (36691200).

Almost surely, 2^4042613280 is an apocalyptic number.

4042613280 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 4042613280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7044710400).

4042613280 is an abundant number, since it is smaller than the sum of its proper divisors (10046807520).

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

4042613280 is a wasteful number, since it uses less digits than its factorization.

4042613280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 4042613280 is about 63581.5482667731. The cubic root of 4042613280 is about 1593.0181823701.

Adding to 4042613280 its reverse (823162404), we get a palindrome (4865775684).

The spelling of 4042613280 in words is "four billion, forty-two million, six hundred thirteen thousand, two hundred eighty".