4042251840 has 672 divisors, whose sum is σ = 15761329920. Its totient is φ = 872284160.

The previous prime is 4042251821. The next prime is 4042251841. The reversal of 4042251840 is 481522404.

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

It is a junction number, because it is equal to n+sod(n) for n = 4042251798 and 4042251807.

It is not an unprimeable number, because it can be changed into a prime (4042251841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45418516 + ... + 45418604.

It is an arithmetic number, because the mean of its divisors is an integer number (23454360).

Almost surely, 2^4042251840 is an apocalyptic number.

4042251840 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 4042251840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7880664960).

4042251840 is an abundant number, since it is smaller than the sum of its proper divisors (11719078080).

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

4042251840 is a wasteful number, since it uses less digits than its factorization.

4042251840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The square root of 4042251840 is about 63578.7058691823. The cubic root of 4042251840 is about 1592.9707050238.

The spelling of 4042251840 in words is "four billion, forty-two million, two hundred fifty-one thousand, eight hundred forty".