4032721920000 has 560 divisors, whose sum is σ = 13573066478400. Its totient is φ = 1064534016000.

The previous prime is 4032721919977. The next prime is 4032721920011. The reversal of 4032721920000 is 291272304.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 4032721920000.

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 39 ways as a sum of consecutive naturals, for example, 1582078726 + ... + 1582081274.

Almost surely, 2^{4032721920000} is an apocalyptic number.

4032721920000 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 4032721920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6786533239200).

4032721920000 is an abundant number, since it is smaller than the sum of its proper divisors (9540344558400).

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

4032721920000 is an equidigital number, since it uses as much as digits as its factorization.

4032721920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2701 (or 2662 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 4032721920000 in words is "four trillion, thirty-two billion, seven hundred twenty-one million, nine hundred twenty thousand".