4254494428800 has 2304 divisors, whose sum is σ = 19684867587840. Its totient is φ = 849346560000.

The previous prime is 4254494428787. The next prime is 4254494428801. The reversal of 4254494428800 is 88244944524.

4254494428800 is a `hidden beast` number, since 4 + 2 + 54 + 4 + 94 + 428 + 80 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (4254494428801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6637276480 + ... + 6637277120.

It is an arithmetic number, because the mean of its divisors is an integer number (8543779335).

Almost surely, 2^{4254494428800} is an apocalyptic number.

4254494428800 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 4254494428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9842433793920).

4254494428800 is an abundant number, since it is smaller than the sum of its proper divisors (15430373159040).

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

4254494428800 is a wasteful number, since it uses less digits than its factorization.

4254494428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 54.

The spelling of 4254494428800 in words is "four trillion, two hundred fifty-four billion, four hundred ninety-four million, four hundred twenty-eight thousand, eight hundred".