10081130967040 has 832 divisors, whose sum is σ = 29536667366400. Its totient is φ = 3229951721472.

The previous prime is 10081130967007. The next prime is 10081130967041. The reversal of 10081130967040 is 4076903118001.

It is a super-2 number, since 2×10081130967040² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 10081130966984 and 10081130967002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10081130967041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17906093799 + ... + 17906094361.

Almost surely, 2^{10081130967040} is an apocalyptic number.

10081130967040 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 10081130967040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14768333683200).

10081130967040 is an abundant number, since it is smaller than the sum of its proper divisors (19455536399360).

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

10081130967040 is an equidigital number, since it uses as much as digits as its factorization.

10081130967040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The spelling of 10081130967040 in words is "ten trillion, eighty-one billion, one hundred thirty million, nine hundred sixty-seven thousand, forty".