4027045432960 has 256 divisors, whose sum is σ = 10755854956800. Its totient is φ = 1429442560000.

The previous prime is 4027045432933. The next prime is 4027045433017. The reversal of 4027045432960 is 692345407204.

4027045432960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4027045432960.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50443956 + ... + 50523724.

It is an arithmetic number, because the mean of its divisors is an integer number (42015058425).

Almost surely, 2^{4027045432960} is an apocalyptic number.

4027045432960 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 4027045432960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5377927478400).

4027045432960 is an abundant number, since it is smaller than the sum of its proper divisors (6728809523840).

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

4027045432960 is a wasteful number, since it uses less digits than its factorization.

4027045432960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79971 (or 79959 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 46.

The spelling of 4027045432960 in words is "four trillion, twenty-seven billion, forty-five million, four hundred thirty-two thousand, nine hundred sixty".