4042748160 has 432 divisors, whose sum is σ = 15538880448. Its totient is φ = 962150400.

The previous prime is 4042748153. The next prime is 4042748179. The reversal of 4042748160 is 618472404.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7729659 + ... + 7730181.

Almost surely, 2^4042748160 is an apocalyptic number.

4042748160 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 4042748160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7769440224).

4042748160 is an abundant number, since it is smaller than the sum of its proper divisors (11496132288).

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

4042748160 is a wasteful number, since it uses less digits than its factorization.

4042748160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 4042748160 is about 63582.6089430121. The cubic root of 4042748160 is about 1593.0358989549.

The spelling of 4042748160 in words is "four billion, forty-two million, seven hundred forty-eight thousand, one hundred sixty".