4199202252000 has 288 divisors, whose sum is σ = 17031965356224. Its totient is φ = 959817600000.

The previous prime is 4199202251977. The next prime is 4199202252019. The reversal of 4199202252000 is 2522029914.

4199202252000 is a `hidden beast` number, since 4 + 1 + 99 + 20 + 22 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8079751 + ... + 8583750.

It is an arithmetic number, because the mean of its divisors is an integer number (59138768598).

Almost surely, 2^{4199202252000} is an apocalyptic number.

4199202252000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4199202252000 is an abundant number, since it is smaller than the sum of its proper divisors (12832763104224).

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

4199202252000 is a wasteful number, since it uses less digits than its factorization.

4199202252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16663539 (or 16663518 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 4199202252000 in words is "four trillion, one hundred ninety-nine billion, two hundred two million, two hundred fifty-two thousand".