8414025984000 has 3600 divisors, whose sum is σ = 39621240919260. Its totient is φ = 1775267020800.

The previous prime is 8414025983989. The next prime is 8414025984043. The reversal of 8414025984000 is 4895204148.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

8414025984000 is a `hidden beast` number, since 8 + 4 + 14 + 0 + 2 + 598 + 40 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 368225657856 + 8045800326144 = 606816^2 + 2836512^2 .

It is a tau number, because it is divible by the number of its divisors (3600).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 647232767994 + ... + 647232768006.

Almost surely, 2^{8414025984000} is an apocalyptic number.

8414025984000 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 8414025984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19810620459630).

8414025984000 is an abundant number, since it is smaller than the sum of its proper divisors (31207214935260).

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

8414025984000 is an frugal number, since it uses more digits than its factorization.

8414025984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 8414025984000 in words is "eight trillion, four hundred fourteen billion, twenty-five million, nine hundred eighty-four thousand".