43028133824200 has 384 divisors, whose sum is σ = 119332362240000. Its totient is φ = 14125327349760.

The previous prime is 43028133824173. The next prime is 43028133824201. The reversal of 43028133824200 is 242833182034.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (43028133824201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 492500121 + ... + 492587479.

It is an arithmetic number, because the mean of its divisors is an integer number (310761360000).

Almost surely, 2^{43028133824200} is an apocalyptic number.

43028133824200 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 43028133824200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59666181120000).

43028133824200 is an abundant number, since it is smaller than the sum of its proper divisors (76304228415800).

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

43028133824200 is a wasteful number, since it uses less digits than its factorization.

43028133824200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87597 (or 87588 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 40.

The spelling of 43028133824200 in words is "forty-three trillion, twenty-eight billion, one hundred thirty-three million, eight hundred twenty-four thousand, two hundred".