849604140000 has 2400 divisors, whose sum is σ = 4000794336000. Its totient is φ = 175271040000.

The previous prime is 849604139987. The next prime is 849604140071. The reversal of 849604140000 is 41406948.

It is a happy number.

849604140000 is a `hidden beast` number, since 8 + 4 + 9 + 604 + 1 + 40 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 6112259931 + ... + 6112260069.

It is an arithmetic number, because the mean of its divisors is an integer number (1666997640).

Almost surely, 2^849604140000 is an apocalyptic number.

849604140000 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 849604140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2000397168000).

849604140000 is an abundant number, since it is smaller than the sum of its proper divisors (3151190196000).

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

849604140000 is a wasteful number, since it uses less digits than its factorization.

849604140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 849604140000 its reverse (41406948), we get a palindrome (849645546948).

The spelling of 849604140000 in words is "eight hundred forty-nine billion, six hundred four million, one hundred forty thousand".