4261080600 has 768 divisors, whose sum is σ = 18748800000. Its totient is φ = 865935360.

The previous prime is 4261080599. The next prime is 4261080611. The reversal of 4261080600 is 60801624.

4261080600 is a `hidden beast` number, since 42 + 6 + 10 + 8 + 0 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12209226 + ... + 12209574.

It is an arithmetic number, because the mean of its divisors is an integer number (24412500).

Almost surely, 2^4261080600 is an apocalyptic number.

4261080600 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 4261080600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9374400000).

4261080600 is an abundant number, since it is smaller than the sum of its proper divisors (14487719400).

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

4261080600 is a wasteful number, since it uses less digits than its factorization.

4261080600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4261080600 is about 65276.9530538918. The cubic root of 4261080600 is about 1621.2123983205.

The spelling of 4261080600 in words is "four billion, two hundred sixty-one million, eighty thousand, six hundred".