10193040000 has 1200 divisors, whose sum is σ = 44870019810. Its totient is φ = 2280960000.

The previous prime is 10193039981. The next prime is 10193040001. The reversal of 10193040000 is 4039101.

It can be written as a sum of positive squares in 5 ways, for example, as 75898944 + 10117141056 = 8712^2 + 100584^2 .

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10193040001) by changing a digit.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 784079994 + ... + 784080006.

Almost surely, 2^10193040000 is an apocalyptic number.

10193040000 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 10193040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22435009905).

10193040000 is an abundant number, since it is smaller than the sum of its proper divisors (34676979810).

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

10193040000 is an equidigital number, since it uses as much as digits as its factorization.

10193040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10193040000 its reverse (4039101), we get a palindrome (10197079101).

The spelling of 10193040000 in words is "ten billion, one hundred ninety-three million, forty thousand".