4024260988800 has 576 divisors, whose sum is σ = 14466705500160. Its totient is φ = 982737100800.

The previous prime is 4024260988777. The next prime is 4024260988801. The reversal of 4024260988800 is 88890624204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4024260988801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 206035035 + ... + 206054565.

It is an arithmetic number, because the mean of its divisors is an integer number (25115808160).

Almost surely, 2^{4024260988800} is an apocalyptic number.

4024260988800 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 4024260988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7233352750080).

4024260988800 is an abundant number, since it is smaller than the sum of its proper divisors (10442444511360).

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

4024260988800 is a wasteful number, since it uses less digits than its factorization.

4024260988800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19711 (or 19681 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 51.

The spelling of 4024260988800 in words is "four trillion, twenty-four billion, two hundred sixty million, nine hundred eighty-eight thousand, eight hundred".