4205215872000 has 2816 divisors, whose sum is σ = 18678009692160. Its totient is φ = 919683072000.

The previous prime is 4205215871977. The next prime is 4205215872017. The reversal of 4205215872000 is 2785125024.

It is a happy number.

4205215872000 is a `hidden beast` number, since 4 + 2 + 0 + 52 + 1 + 587 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 33111935937 + ... + 33111936063.

Almost surely, 2^{4205215872000} is an apocalyptic number.

4205215872000 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 4205215872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9339004846080).

4205215872000 is an abundant number, since it is smaller than the sum of its proper divisors (14472793820160).

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

4205215872000 is a wasteful number, since it uses less digits than its factorization.

4205215872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 4205215872000 in words is "four trillion, two hundred five billion, two hundred fifteen million, eight hundred seventy-two thousand".