10010422431200 has 576 divisors, whose sum is σ = 26061617574720. Its totient is φ = 3750077399040.

The previous prime is 10010422431199. The next prime is 10010422431227. The reversal of 10010422431200 is 213422401001.

10010422431200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29704517432 + ... + 29704517768.

It is an arithmetic number, because the mean of its divisors is an integer number (45245863845).

Almost surely, 2^{10010422431200} is an apocalyptic number.

10010422431200 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 10010422431200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13030808787360).

10010422431200 is an abundant number, since it is smaller than the sum of its proper divisors (16051195143520).

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

10010422431200 is a wasteful number, since it uses less digits than its factorization.

10010422431200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10010422431200 its reverse (213422401001), we get a palindrome (10223844832201).

The spelling of 10010422431200 in words is "ten trillion, ten billion, four hundred twenty-two million, four hundred thirty-one thousand, two hundred".