10849984140240 has 720 divisors, whose sum is σ = 44727072998400. Its totient is φ = 2345501233152.

The previous prime is 10849984140227. The next prime is 10849984140251. The reversal of 10849984140240 is 4204148994801.

10849984140240 is a `hidden beast` number, since 1 + 0 + 8 + 499 + 8 + 4 + 140 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 72143041 + ... + 72293279.

It is an arithmetic number, because the mean of its divisors is an integer number (62120934720).

Almost surely, 2^{10849984140240} is an apocalyptic number.

10849984140240 is a gapful number since it is divisible by the number (10) 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 10849984140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22363536499200).

10849984140240 is an abundant number, since it is smaller than the sum of its proper divisors (33877088858160).

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

10849984140240 is a wasteful number, since it uses less digits than its factorization.

10849984140240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150384 (or 150368 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 10849984140240 in words is "ten trillion, eight hundred forty-nine billion, nine hundred eighty-four million, one hundred forty thousand, two hundred forty".