4261200960 has 168 divisors, whose sum is σ = 14372904960. Its totient is φ = 1069408256.

The previous prime is 4261200929. The next prime is 4261200967. The reversal of 4261200960 is 690021624.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4261200967) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 269761 + ... + 285119.

Almost surely, 2^4261200960 is an apocalyptic number.

4261200960 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 4261200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7186452480).

4261200960 is an abundant number, since it is smaller than the sum of its proper divisors (10111704000).

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

4261200960 is a wasteful number, since it uses less digits than its factorization.

4261200960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15413 (or 15386 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 4261200960 is about 65277.8749654123. The cubic root of 4261200960 is about 1621.2276626243.

The spelling of 4261200960 in words is "four billion, two hundred sixty-one million, two hundred thousand, nine hundred sixty".