10190689367040 has 2816 divisors, whose sum is σ = 46075681290240. Its totient is φ = 2105190383616.

The previous prime is 10190689367029. The next prime is 10190689367071. The reversal of 10190689367040 is 4076398609101.

10190689367040 is a `hidden beast` number, since 10 + 190 + 6 + 89 + 367 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 74384593852 + ... + 74384593988.

Almost surely, 2^{10190689367040} is an apocalyptic number.

10190689367040 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 10190689367040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23037840645120).

10190689367040 is an abundant number, since it is smaller than the sum of its proper divisors (35884991923200).

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

10190689367040 is an equidigital number, since it uses as much as digits as its factorization.

10190689367040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 10190689367040 in words is "ten trillion, one hundred ninety billion, six hundred eighty-nine million, three hundred sixty-seven thousand, forty".