4032019200000 has 1152 divisors, whose sum is σ = 15533388299520. Its totient is φ = 919142400000.

The previous prime is 4032019199993. The next prime is 4032019200023. The reversal of 4032019200000 is 29102304.

It is a self number, because there is not a number n which added to its sum of digits gives 4032019200000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3590399439 + ... + 3590400561.

It is an arithmetic number, because the mean of its divisors is an integer number (13483844010).

Almost surely, 2^{4032019200000} is an apocalyptic number.

4032019200000 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 4032019200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7766694149760).

4032019200000 is an abundant number, since it is smaller than the sum of its proper divisors (11501369099520).

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

4032019200000 is a wasteful number, since it uses less digits than its factorization.

4032019200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The spelling of 4032019200000 in words is "four trillion, thirty-two billion, nineteen million, two hundred thousand".