9855140400 has 600 divisors, whose sum is σ = 42568148480. Its totient is φ = 2133112320.

The previous prime is 9855140387. The next prime is 9855140401. The reversal of 9855140400 is 40415589.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-3 number, since 3×9855140400³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9855140401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4308057 + ... + 4310343.

Almost surely, 2^9855140400 is an apocalyptic number.

9855140400 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 9855140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21284074240).

9855140400 is an abundant number, since it is smaller than the sum of its proper divisors (32713008080).

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

9855140400 is a wasteful number, since it uses less digits than its factorization.

9855140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2343 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 9855140400 is about 99273.0597896529. The cubic root of 9855140400 is about 2143.9810310102.

Adding to 9855140400 its reverse (40415589), we get a palindrome (9895555989).

The spelling of 9855140400 in words is "nine billion, eight hundred fifty-five million, one hundred forty thousand, four hundred".