4261220960 has 96 divisors (see below), whose sum is σ = 10213493472. Its totient is φ = 1679892480.

The previous prime is 4261220959. The next prime is 4261220993. The reversal of 4261220960 is 690221624.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3814322 + ... + 3815438.

It is an arithmetic number, because the mean of its divisors is an integer number (106390557).

Almost surely, 2^4261220960 is an apocalyptic number.

4261220960 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 4261220960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5106746736).

4261220960 is an abundant number, since it is smaller than the sum of its proper divisors (5952272512).

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

4261220960 is a wasteful number, since it uses less digits than its factorization.

4261220960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456 (or 1448 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 4261220960 is about 65278.0281564938. The cubic root of 4261220960 is about 1621.2301990378.

The spelling of 4261220960 in words is "four billion, two hundred sixty-one million, two hundred twenty thousand, nine hundred sixty".