4661209690200 has 432 divisors, whose sum is σ = 18881330111280. Its totient is φ = 1009343669760.

The previous prime is 4661209690199. The next prime is 4661209690223. The reversal of 4661209690200 is 20969021664.

4661209690200 is a `hidden beast` number, since 4 + 6 + 612 + 0 + 9 + 6 + 9 + 0 + 20 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4036222 + ... + 5060978.

It is an arithmetic number, because the mean of its divisors is an integer number (43706782665).

Almost surely, 2^{4661209690200} is an apocalyptic number.

4661209690200 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 4661209690200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9440665055640).

4661209690200 is an abundant number, since it is smaller than the sum of its proper divisors (14220120421080).

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

4661209690200 is a wasteful number, since it uses less digits than its factorization.

4661209690200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024824 (or 1024793 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 4661209690200 in words is "four trillion, six hundred sixty-one billion, two hundred nine million, six hundred ninety thousand, two hundred".