10200230040 has 512 divisors, whose sum is σ = 41948928000. Its totient is φ = 1955358720.

The previous prime is 10200230011. The next prime is 10200230081. The reversal of 10200230040 is 4003200201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10200229998 and 10200230025.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5885014 + ... + 5886746.

It is an arithmetic number, because the mean of its divisors is an integer number (81931500).

Almost surely, 2^10200230040 is an apocalyptic number.

10200230040 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 10200230040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20974464000).

10200230040 is an abundant number, since it is smaller than the sum of its proper divisors (31748697960).

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

10200230040 is a wasteful number, since it uses less digits than its factorization.

10200230040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 10200230040 its reverse (4003200201), we get a palindrome (14203430241).

The spelling of 10200230040 in words is "ten billion, two hundred million, two hundred thirty thousand, forty".