10940004092160 has 1944 divisors, whose sum is σ = 47618952861480. Its totient is φ = 2303003197440.

The previous prime is 10940004092081. The next prime is 10940004092183. The reversal of 10940004092160 is 6129040004901.

It is a happy number.

10940004092160 is a `hidden beast` number, since 1 + 0 + 9 + 400 + 0 + 4 + 0 + 92 + 160 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 233915387904 + 10706088704256 = 483648^2 + 3272016^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 5236956396 + ... + 5236958484.

Almost surely, 2^{10940004092160} is an apocalyptic number.

10940004092160 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 10940004092160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23809476430740).

10940004092160 is an abundant number, since it is smaller than the sum of its proper divisors (36678948769320).

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

10940004092160 is a wasteful number, since it uses less digits than its factorization.

10940004092160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2185 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 10940004092160 in words is "ten trillion, nine hundred forty billion, four million, ninety-two thousand, one hundred sixty".