4024255841280 has 880 divisors, whose sum is σ = 15335245362096. Its totient is φ = 1005626327040.

The previous prime is 4024255841227. The next prime is 4024255841299. The reversal of 4024255841280 is 821485524204.

It is a happy number.

4024255841280 is a `hidden beast` number, since 4 + 0 + 2 + 4 + 2 + 558 + 4 + 12 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 918653239296 + 3105602601984 = 958464^2 + 1762272^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1811910570 + ... + 1811912790.

Almost surely, 2^{4024255841280} is an apocalyptic number.

4024255841280 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 4024255841280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7667622681048).

4024255841280 is an abundant number, since it is smaller than the sum of its proper divisors (11310989520816).

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

4024255841280 is a wasteful number, since it uses less digits than its factorization.

4024255841280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2532 (or 2505 counting only the distinct ones).

The product of its (nonzero) digits is 819200, while the sum is 45.

The spelling of 4024255841280 in words is "four trillion, twenty-four billion, two hundred fifty-five million, eight hundred forty-one thousand, two hundred eighty".