10289111040 has 672 divisors, whose sum is σ = 40789738080. Its totient is φ = 2378170368.

The previous prime is 10289111033. The next prime is 10289111051. The reversal of 10289111040 is 4011198201.

It is a super-3 number, since 3×10289111040³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10289110995 and 10289111013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91054024 + ... + 91054136.

It is an arithmetic number, because the mean of its divisors is an integer number (60699015).

Almost surely, 2^10289111040 is an apocalyptic number.

10289111040 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 10289111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20394869040).

10289111040 is an abundant number, since it is smaller than the sum of its proper divisors (30500627040).

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

10289111040 is a wasteful number, since it uses less digits than its factorization.

10289111040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The spelling of 10289111040 in words is "ten billion, two hundred eighty-nine million, one hundred eleven thousand, forty".