8490541831200 has 648 divisors, whose sum is σ = 35440516169604. Its totient is φ = 1899978854400.

The previous prime is 8490541831169. The next prime is 8490541831201. The reversal of 8490541831200 is 21381450948.

8490541831200 is a `hidden beast` number, since 8 + 4 + 9 + 0 + 541 + 83 + 1 + 20 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1101517419024 + 7389024412176 = 1049532^2 + 2718276^2 .

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

It is not an unprimeable number, because it can be changed into a prime (8490541831201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 10950762 + ... + 11700438.

Almost surely, 2^{8490541831200} is an apocalyptic number.

8490541831200 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 8490541831200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17720258084802).

8490541831200 is an abundant number, since it is smaller than the sum of its proper divisors (26949974338404).

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

8490541831200 is a wasteful number, since it uses less digits than its factorization.

8490541831200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749738 (or 749711 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 8490541831200 in words is "eight trillion, four hundred ninety billion, five hundred forty-one million, eight hundred thirty-one thousand, two hundred".