10840711770240 has 512 divisors, whose sum is σ = 38775614976000. Its totient is φ = 2553598279680.

The previous prime is 10840711770233. The next prime is 10840711770247. The reversal of 10840711770240 is 4207711704801.

It is an interprime number because it is at equal distance from previous prime (10840711770233) and next prime (10840711770247).

It is a junction number, because it is equal to n+sod(n) for n = 10840711770192 and 10840711770201.

It is not an unprimeable number, because it can be changed into a prime (10840711770247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 137937676 + ... + 138016244.

It is an arithmetic number, because the mean of its divisors is an integer number (75733623000).

Almost surely, 2^{10840711770240} is an apocalyptic number.

10840711770240 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 10840711770240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19387807488000).

10840711770240 is an abundant number, since it is smaller than the sum of its proper divisors (27934903205760).

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

10840711770240 is a wasteful number, since it uses less digits than its factorization.

10840711770240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78788 (or 78776 counting only the distinct ones).

The product of its (nonzero) digits is 87808, while the sum is 42.

The spelling of 10840711770240 in words is "ten trillion, eight hundred forty billion, seven hundred eleven million, seven hundred seventy thousand, two hundred forty".