10200434424000 has 224 divisors, whose sum is σ = 33753995398656. Its totient is φ = 2714288204800.

The previous prime is 10200434423989. The next prime is 10200434424029. The reversal of 10200434424000 is 42443400201.

It is a happy number.

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

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 31 ways as a sum of consecutive naturals, for example, 10752949 + ... + 11663051.

Almost surely, 2^{10200434424000} is an apocalyptic number.

10200434424000 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 10200434424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16876997699328).

10200434424000 is an abundant number, since it is smaller than the sum of its proper divisors (23553560974656).

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

10200434424000 is an equidigital number, since it uses as much as digits as its factorization.

10200434424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910600 (or 910580 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 10200434424000 its reverse (42443400201), we get a palindrome (10242877824201).

The spelling of 10200434424000 in words is "ten trillion, two hundred billion, four hundred thirty-four million, four hundred twenty-four thousand".