487416544200000 has 1176 divisors, whose sum is σ = 1815739881709824. Its totient is φ = 129751735680000.

The previous prime is 487416544199951. The next prime is 487416544200007. The reversal of 487416544200000 is 2445614784.

487416544200000 is a `hidden beast` number, since 4 + 8 + 74 + 16 + 544 + 20 + 0 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (487416544200007) 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 167 ways as a sum of consecutive naturals, for example, 94332597417 + ... + 94332602583.

Almost surely, 2^{487416544200000} is an apocalyptic number.

487416544200000 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 487416544200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907869940854912).

487416544200000 is an abundant number, since it is smaller than the sum of its proper divisors (1328323337509824).

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

487416544200000 is an frugal number, since it uses more digits than its factorization.

487416544200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5869 (or 5824 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

Adding to 487416544200000 its reverse (2445614784), we get a palindrome (487418989814784).

The spelling of 487416544200000 in words is "four hundred eighty-seven trillion, four hundred sixteen billion, five hundred forty-four million, two hundred thousand".