4055738720 has 192 divisors, whose sum is σ = 10921925952. Its totient is φ = 1410048000.

The previous prime is 4055738717. The next prime is 4055738789. The reversal of 4055738720 is 278375504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3971810 + ... + 3972830.

It is an arithmetic number, because the mean of its divisors is an integer number (56885031).

Almost surely, 2^4055738720 is an apocalyptic number.

4055738720 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 4055738720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5460962976).

4055738720 is an abundant number, since it is smaller than the sum of its proper divisors (6866187232).

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

4055738720 is a wasteful number, since it uses less digits than its factorization.

4055738720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 41.

The square root of 4055738720 is about 63684.6819886855. The cubic root of 4055738720 is about 1594.7403749942.

The spelling of 4055738720 in words is "four billion, fifty-five million, seven hundred thirty-eight thousand, seven hundred twenty".