4166215603200 has 1056 divisors, whose sum is σ = 17577081344000. Its totient is φ = 947273564160.

The previous prime is 4166215603181. The next prime is 4166215603211. The reversal of 4166215603200 is 23065126614.

4166215603200 is a `hidden beast` number, since 4 + 1 + 6 + 6 + 21 + 5 + 603 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 962839437 + ... + 962843763.

Almost surely, 2^{4166215603200} is an apocalyptic number.

4166215603200 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 4166215603200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8788540672000).

4166215603200 is an abundant number, since it is smaller than the sum of its proper divisors (13410865740800).

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

4166215603200 is a wasteful number, since it uses less digits than its factorization.

4166215603200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4572 (or 4543 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 4166215603200 in words is "four trillion, one hundred sixty-six billion, two hundred fifteen million, six hundred three thousand, two hundred".