10424414200200 has 768 divisors, whose sum is σ = 43705942640640. Its totient is φ = 1984877568000.

The previous prime is 10424414200163. The next prime is 10424414200201. The reversal of 10424414200200 is 200241442401.

It is a super-2 number, since 2×10424414200200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10424414200201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 82218855 + ... + 82345545.

It is an arithmetic number, because the mean of its divisors is an integer number (56908779480).

Almost surely, 2^{10424414200200} is an apocalyptic number.

10424414200200 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 10424414200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21852971320320).

10424414200200 is an abundant number, since it is smaller than the sum of its proper divisors (33281528440440).

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

10424414200200 is a wasteful number, since it uses less digits than its factorization.

10424414200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126878 (or 126869 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 10424414200200 its reverse (200241442401), we get a palindrome (10624655642601).

The spelling of 10424414200200 in words is "ten trillion, four hundred twenty-four billion, four hundred fourteen million, two hundred thousand, two hundred".