8425045886400 has 1512 divisors, whose sum is σ = 35569406971280. Its totient is φ = 1878781132800.

The previous prime is 8425045886399. The next prime is 8425045886407. The reversal of 8425045886400 is 46885405248.

8425045886400 is a `hidden beast` number, since 8 + 4 + 2 + 50 + 4 + 588 + 6 + 4 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8425045886407) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 9807969171 + ... + 9807970029.

Almost surely, 2^{8425045886400} is an apocalyptic number.

8425045886400 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 8425045886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17784703485640).

8425045886400 is an abundant number, since it is smaller than the sum of its proper divisors (27144361084880).

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

8425045886400 is a wasteful number, since it uses less digits than its factorization.

8425045886400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 9830400, while the sum is 54.

The spelling of 8425045886400 in words is "eight trillion, four hundred twenty-five billion, forty-five million, eight hundred eighty-six thousand, four hundred".