8241994252800 has 1920 divisors, whose sum is σ = 39704473036800. Its totient is φ = 1622384640000.

The previous prime is 8241994252783. The next prime is 8241994252837. The reversal of 8241994252800 is 82524991428.

8241994252800 is a `hidden beast` number, since 8 + 2 + 4 + 199 + 425 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-3 number, since 3×8241994252800³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 505604650 + ... + 505620950.

It is an arithmetic number, because the mean of its divisors is an integer number (20679413040).

Almost surely, 2^{8241994252800} is an apocalyptic number.

8241994252800 is a gapful number since it is divisible by the number (80) 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 8241994252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19852236518400).

8241994252800 is an abundant number, since it is smaller than the sum of its proper divisors (31462478784000).

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

8241994252800 is a wasteful number, since it uses less digits than its factorization.

8241994252800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16375 (or 16348 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 8241994252800 in words is "eight trillion, two hundred forty-one billion, nine hundred ninety-four million, two hundred fifty-two thousand, eight hundred".