10841017920 has 224 divisors, whose sum is σ = 34952269440. Its totient is φ = 2846638080.

The previous prime is 10841017919. The next prime is 10841017921. The reversal of 10841017920 is 2971014801.

It is an interprime number because it is at equal distance from previous prime (10841017919) and next prime (10841017921).

It is a super-2 number, since 2×10841017920² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10841017921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32752155 + ... + 32752485.

Almost surely, 2^10841017920 is an apocalyptic number.

10841017920 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 10841017920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17476134720).

10841017920 is an abundant number, since it is smaller than the sum of its proper divisors (24111251520).

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

10841017920 is a wasteful number, since it uses less digits than its factorization.

10841017920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

The spelling of 10841017920 in words is "ten billion, eight hundred forty-one million, seventeen thousand, nine hundred twenty".