10842917905440 has 576 divisors, whose sum is σ = 43033100947200. Its totient is φ = 2466035269632.

The previous prime is 10842917905411. The next prime is 10842917905481. The reversal of 10842917905440 is 4450971924801.

10842917905440 is a `hidden beast` number, since 1 + 0 + 8 + 4 + 2 + 9 + 1 + 7 + 90 + 544 + 0 = 666.

It is a super-2 number, since 2×10842917905440² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10190976 + ... + 11204544.

It is an arithmetic number, because the mean of its divisors is an integer number (74710244700).

Almost surely, 2^{10842917905440} is an apocalyptic number.

10842917905440 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 10842917905440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21516550473600).

10842917905440 is an abundant number, since it is smaller than the sum of its proper divisors (32190183041760).

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

10842917905440 is a wasteful number, since it uses less digits than its factorization.

10842917905440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013649 (or 1013638 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 10842917905440 in words is "ten trillion, eight hundred forty-two billion, nine hundred seventeen million, nine hundred five thousand, four hundred forty".