4262081600 has 168 divisors, whose sum is σ = 12139818240. Its totient is φ = 1442488320.

The previous prime is 4262081563. The next prime is 4262081617. The reversal of 4262081600 is 61802624.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 882392 + ... + 887208.

Almost surely, 2^4262081600 is an apocalyptic number.

4262081600 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 4262081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6069909120).

4262081600 is an abundant number, since it is smaller than the sum of its proper divisors (7877736640).

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

4262081600 is a wasteful number, since it uses less digits than its factorization.

4262081600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4925 (or 4910 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 4262081600 is about 65284.6199345604. The cubic root of 4262081600 is about 1621.3393384641.

The spelling of 4262081600 in words is "four billion, two hundred sixty-two million, eighty-one thousand, six hundred".