4061299200 has 480 divisors, whose sum is σ = 15892018560. Its totient is φ = 894566400.

The previous prime is 4061299163. The next prime is 4061299273. The reversal of 4061299200 is 29921604.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7794940 + ... + 7795460.

It is an arithmetic number, because the mean of its divisors is an integer number (33108372).

Almost surely, 2^4061299200 is an apocalyptic number.

4061299200 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 4061299200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7946009280).

4061299200 is an abundant number, since it is smaller than the sum of its proper divisors (11830719360).

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

4061299200 is a wasteful number, since it uses less digits than its factorization.

4061299200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 4061299200 is about 63728.3233735205. The cubic root of 4061299200 is about 1595.4688466861.

The spelling of 4061299200 in words is "four billion, sixty-one million, two hundred ninety-nine thousand, two hundred".