8452317350400 has 2880 divisors, whose sum is σ = 37005679484928. Its totient is φ = 1662566400000.

The previous prime is 8452317350339. The next prime is 8452317350551. The reversal of 8452317350400 is 40537132548.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 83686310350 + ... + 83686310450.

Almost surely, 2^{8452317350400} is an apocalyptic number.

8452317350400 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 8452317350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18502839742464).

8452317350400 is an abundant number, since it is smaller than the sum of its proper divisors (28553362134528).

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

8452317350400 is a wasteful number, since it uses less digits than its factorization.

8452317350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 8452317350400 in words is "eight trillion, four hundred fifty-two billion, three hundred seventeen million, three hundred fifty thousand, four hundred".