8416362240000 has 2880 divisors, whose sum is σ = 37082687241600. Its totient is φ = 1869004800000.

The previous prime is 8416362239981. The next prime is 8416362240049. The reversal of 8416362240000 is 422636148.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-3 number, since 3×8416362240000³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 64247039935 + ... + 64247040065.

It is an arithmetic number, because the mean of its divisors is an integer number (12875933070).

Almost surely, 2^{8416362240000} is an apocalyptic number.

8416362240000 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 8416362240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18541343620800).

8416362240000 is an abundant number, since it is smaller than the sum of its proper divisors (28666325001600).

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

8416362240000 is a wasteful number, since it uses less digits than its factorization.

8416362240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 8416362240000 its reverse (422636148), we get a palindrome (8416784876148).

The spelling of 8416362240000 in words is "eight trillion, four hundred sixteen billion, three hundred sixty-two million, two hundred forty thousand".