4261665120 has 96 divisors (see below), whose sum is σ = 13456769760. Its totient is φ = 1133690880.

The previous prime is 4261665119. The next prime is 4261665127. The reversal of 4261665120 is 215661624.

4261665120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4261665120² = 36323579190049228800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4261665127) 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, 191536 + ... + 212624.

It is an arithmetic number, because the mean of its divisors is an integer number (140174685).

Almost surely, 2^4261665120 is an apocalyptic number.

4261665120 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 4261665120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6728384880).

4261665120 is an abundant number, since it is smaller than the sum of its proper divisors (9195104640).

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

4261665120 is a wasteful number, since it uses less digits than its factorization.

4261665120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21528 (or 21520 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 4261665120 is about 65281.4301313934. The cubic root of 4261665120 is about 1621.2865256630.

The spelling of 4261665120 in words is "four billion, two hundred sixty-one million, six hundred sixty-five thousand, one hundred twenty".