8406478080000 has 4320 divisors, whose sum is σ = 42300299321280. Its totient is φ = 1612431360000.

The previous prime is 8406478079917. The next prime is 8406478080001. The reversal of 8406478080000 is 808746048.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a super-3 number, since 3×8406478080000³ (a number of 40 digits) contains 333 as substring.

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 (8406478080001) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 646652159994 + ... + 646652160006.

It is an arithmetic number, because the mean of its divisors is an integer number (9791735954).

Almost surely, 2^{8406478080000} is an apocalyptic number.

8406478080000 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 8406478080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21150149660640).

8406478080000 is an abundant number, since it is smaller than the sum of its proper divisors (33893821241280).

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

8406478080000 is an frugal number, since it uses more digits than its factorization.

8406478080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 8406478080000 in words is "eight trillion, four hundred six billion, four hundred seventy-eight million, eighty thousand".