10205017436040 has 384 divisors, whose sum is σ = 37141305062400. Its totient is φ = 2234055720960.

The previous prime is 10205017436027. The next prime is 10205017436041. The reversal of 10205017436040 is 4063471050201.

It is a junction number, because it is equal to n+sod(n) for n = 10205017435992 and 10205017436010.

It is not an unprimeable number, because it can be changed into a prime (10205017436041) 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 95 ways as a sum of consecutive naturals, for example, 17392576 + ... + 17969744.

It is an arithmetic number, because the mean of its divisors is an integer number (96722148600).

Almost surely, 2^{10205017436040} is an apocalyptic number.

10205017436040 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 10205017436040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18570652531200).

10205017436040 is an abundant number, since it is smaller than the sum of its proper divisors (26936287626360).

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

10205017436040 is a wasteful number, since it uses less digits than its factorization.

10205017436040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577325 (or 577314 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

Adding to 10205017436040 its reverse (4063471050201), we get a palindrome (14268488486241).

The spelling of 10205017436040 in words is "ten trillion, two hundred five billion, seventeen million, four hundred thirty-six thousand, forty".