985430318400 has 2016 divisors, whose sum is σ = 4256555896320. Its totient is φ = 221709312000.

The previous prime is 985430318399. The next prime is 985430318417. The reversal of 985430318400 is 4813034589.

985430318400 is a `hidden beast` number, since 98 + 543 + 0 + 3 + 18 + 4 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 5444366310 + ... + 5444366490.

Almost surely, 2^985430318400 is an apocalyptic number.

985430318400 is a gapful number since it is divisible by the number (90) 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 985430318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2128277948160).

985430318400 is an abundant number, since it is smaller than the sum of its proper divisors (3271125577920).

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

985430318400 is a wasteful number, since it uses less digits than its factorization.

985430318400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 985430318400 in words is "nine hundred eighty-five billion, four hundred thirty million, three hundred eighteen thousand, four hundred".