10940711040 has 512 divisors, whose sum is σ = 44651520000. Its totient is φ = 2480025600.

The previous prime is 10940711011. The next prime is 10940711069. The reversal of 10940711040 is 4011704901.

10940711040 is a `hidden beast` number, since 109 + 407 + 110 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (10940711011) and next prime (10940711069).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10940710995 and 10940711013.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18264661 + ... + 18265259.

It is an arithmetic number, because the mean of its divisors is an integer number (87210000).

Almost surely, 2^10940711040 is an apocalyptic number.

10940711040 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 10940711040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22325760000).

10940711040 is an abundant number, since it is smaller than the sum of its proper divisors (33710808960).

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

10940711040 is a wasteful number, since it uses less digits than its factorization.

10940711040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 10940711040 in words is "ten billion, nine hundred forty million, seven hundred eleven thousand, forty".