8424213417600 has 384 divisors, whose sum is σ = 28138724006400. Its totient is φ = 2214873477120.

The previous prime is 8424213417559. The next prime is 8424213417601. The reversal of 8424213417600 is 67143124248.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (8424213417601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 400779891 + ... + 400800909.

It is an arithmetic number, because the mean of its divisors is an integer number (73277927100).

Almost surely, 2^{8424213417600} is an apocalyptic number.

8424213417600 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 8424213417600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14069362003200).

8424213417600 is an abundant number, since it is smaller than the sum of its proper divisors (19714510588800).

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

8424213417600 is a wasteful number, since it uses less digits than its factorization.

8424213417600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21632 (or 21615 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 8424213417600 in words is "eight trillion, four hundred twenty-four billion, two hundred thirteen million, four hundred seventeen thousand, six hundred".