4041342720 has 504 divisors, whose sum is σ = 14959480032. Its totient is φ = 1045094400.

The previous prime is 4041342703. The next prime is 4041342779. The reversal of 4041342720 is 272431404.

4041342720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 56920285 + ... + 56920355.

It is an arithmetic number, because the mean of its divisors is an integer number (29681508).

Almost surely, 2^4041342720 is an apocalyptic number.

4041342720 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 4041342720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7479740016).

4041342720 is an abundant number, since it is smaller than the sum of its proper divisors (10918137312).

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

4041342720 is an frugal number, since it uses more digits than its factorization.

4041342720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 4041342720 is about 63571.5559035643. Note that the first 3 decimals coincide. The cubic root of 4041342720 is about 1592.8512740591.

The spelling of 4041342720 in words is "four billion, forty-one million, three hundred forty-two thousand, seven hundred twenty".