10140043651164 has 288 divisors, whose sum is σ = 31505632704000. Its totient is φ = 2685549841920.

The previous prime is 10140043651159. The next prime is 10140043651181. The reversal of 10140043651164 is 46115634004101.

10140043651164 is a `hidden beast` number, since 1 + 0 + 1 + 40 + 0 + 43 + 6 + 511 + 64 = 666.

It is a super-2 number, since 2×10140043651164² (a number of 27 digits) contains 22 as substring.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47692534 + ... + 47904674.

It is an arithmetic number, because the mean of its divisors is an integer number (109394558000).

Almost surely, 2^{10140043651164} is an apocalyptic number.

10140043651164 is a gapful number since it is divisible by the number (14) 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 10140043651164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15752816352000).

10140043651164 is an abundant number, since it is smaller than the sum of its proper divisors (21365589052836).

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

10140043651164 is a wasteful number, since it uses less digits than its factorization.

10140043651164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212393 (or 212388 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 10140043651164 its reverse (46115634004101), we get a palindrome (56255677655265).

The spelling of 10140043651164 in words is "ten trillion, one hundred forty billion, forty-three million, six hundred fifty-one thousand, one hundred sixty-four".