4205772480 has 448 divisors, whose sum is σ = 16975945728. Its totient is φ = 858193920.

The previous prime is 4205772419. The next prime is 4205772491. The reversal of 4205772480 is 842775024.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2707384 + ... + 2708936.

It is an arithmetic number, because the mean of its divisors is an integer number (37892736).

Almost surely, 2^4205772480 is an apocalyptic number.

4205772480 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 4205772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8487972864).

4205772480 is an abundant number, since it is smaller than the sum of its proper divisors (12770173248).

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

4205772480 is a wasteful number, since it uses less digits than its factorization.

4205772480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1624 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 39.

The square root of 4205772480 is about 64851.9273422155. The cubic root of 4205772480 is about 1614.1674730902.

The spelling of 4205772480 in words is "four billion, two hundred five million, seven hundred seventy-two thousand, four hundred eighty".