4042386810 has 480 divisors, whose sum is σ = 14158603008. Its totient is φ = 817931520.

The previous prime is 4042386793. The next prime is 4042386989. The reversal of 4042386810 is 186832404.

4042386810 is a `hidden beast` number, since 404 + 238 + 6 + 8 + 10 = 666.

It is a super-2 number, since 2×4042386810² = 32681782243323952200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 20519632 + ... + 20519828.

Almost surely, 2^4042386810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4042386810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7079301504).

4042386810 is an abundant number, since it is smaller than the sum of its proper divisors (10116216198).

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

4042386810 is a wasteful number, since it uses less digits than its factorization.

4042386810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4042386810 is about 63579.7673006122. The cubic root of 4042386810 is about 1592.9884344868.

The spelling of 4042386810 in words is "four billion, forty-two million, three hundred eighty-six thousand, eight hundred ten".