4061685292200 has 384 divisors, whose sum is σ = 14459503104000. Its totient is φ = 1046873721600.

The previous prime is 4061685292139. The next prime is 4061685292207. The reversal of 4061685292200 is 22925861604.

4061685292200 is a `hidden beast` number, since 4 + 0 + 61 + 68 + 529 + 2 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4061685292207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 138425131 + ... + 138454469.

It is an arithmetic number, because the mean of its divisors is an integer number (37654956000).

Almost surely, 2^{4061685292200} is an apocalyptic number.

4061685292200 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 4061685292200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7229751552000).

4061685292200 is an abundant number, since it is smaller than the sum of its proper divisors (10397817811800).

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

4061685292200 is a wasteful number, since it uses less digits than its factorization.

4061685292200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30222 (or 30207 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 4061685292200 in words is "four trillion, sixty-one billion, six hundred eighty-five million, two hundred ninety-two thousand, two hundred".