4052090880 has 288 divisors, whose sum is σ = 14470293600. Its totient is φ = 1075838976.

The previous prime is 4052090813. The next prime is 4052090881. The reversal of 4052090880 is 880902504.

4052090880 is a `hidden beast` number, since 40 + 520 + 90 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4052090881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17694606 + ... + 17694834.

It is an arithmetic number, because the mean of its divisors is an integer number (50244075).

Almost surely, 2^4052090880 is an apocalyptic number.

4052090880 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 4052090880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7235146800).

4052090880 is an abundant number, since it is smaller than the sum of its proper divisors (10418202720).

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

4052090880 is an frugal number, since it uses more digits than its factorization.

4052090880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 4052090880 is about 63656.0356918337. The cubic root of 4052090880 is about 1594.2621141808.

The spelling of 4052090880 in words is "four billion, fifty-two million, ninety thousand, eight hundred eighty".