9840148718400 has 1512 divisors, whose sum is σ = 47797415082144. Its totient is φ = 1887401779200.

The previous prime is 9840148718399. The next prime is 9840148718441. The reversal of 9840148718400 is 48178410489.

9840148718400 is a `hidden beast` number, since 9 + 84 + 0 + 1 + 487 + 1 + 84 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 100852039 + ... + 100949561.

It is an arithmetic number, because the mean of its divisors is an integer number (31612047012).

Almost surely, 2^{9840148718400} is an apocalyptic number.

9840148718400 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 9840148718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23898707541072).

9840148718400 is an abundant number, since it is smaller than the sum of its proper divisors (37957266363744).

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

9840148718400 is a wasteful number, since it uses less digits than its factorization.

9840148718400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97589 (or 97564 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 9840148718400 in words is "nine trillion, eight hundred forty billion, one hundred forty-eight million, seven hundred eighteen thousand, four hundred".