4153880992200 has 192 divisors, whose sum is σ = 13475418768000. Its totient is φ = 1056503500800.

The previous prime is 4153880992199. The next prime is 4153880992237. The reversal of 4153880992200 is 22990883514.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4384960 + ... + 5247440.

It is an arithmetic number, because the mean of its divisors is an integer number (70184472750).

Almost surely, 2^{4153880992200} is an apocalyptic number.

4153880992200 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 4153880992200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6737709384000).

4153880992200 is an abundant number, since it is smaller than the sum of its proper divisors (9321537775800).

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

4153880992200 is a wasteful number, since it uses less digits than its factorization.

4153880992200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862872 (or 862863 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 4153880992200 in words is "four trillion, one hundred fifty-three billion, eight hundred eighty million, nine hundred ninety-two thousand, two hundred".