4042275840 has 528 divisors, whose sum is σ = 15348569760. Its totient is φ = 1021206528.

The previous prime is 4042275823. The next prime is 4042275841. The reversal of 4042275840 is 485722404.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2 and base 4.

It is a junction number, because it is equal to n+sod(n) for n = 4042275795 and 4042275804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042275841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 212751351 + ... + 212751369.

Almost surely, 2^4042275840 is an apocalyptic number.

4042275840 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 4042275840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7674284880).

4042275840 is an abundant number, since it is smaller than the sum of its proper divisors (11306293920).

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

4042275840 is an frugal number, since it uses more digits than its factorization.

4042275840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 4042275840 is about 63578.8946113410. The cubic root of 4042275840 is about 1592.9738576577.

The spelling of 4042275840 in words is "four billion, forty-two million, two hundred seventy-five thousand, eight hundred forty".