10010410043200 has 336 divisors, whose sum is σ = 29874162109824. Its totient is φ = 3222931046400.

The previous prime is 10010410043189. The next prime is 10010410043201. The reversal of 10010410043200 is 234001401001.

10010410043200 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 (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010410043201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84287860 + ... + 84406540.

Almost surely, 2^{10010410043200} is an apocalyptic number.

10010410043200 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 10010410043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14937081054912).

10010410043200 is an abundant number, since it is smaller than the sum of its proper divisors (19863752066624).

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

10010410043200 is a wasteful number, since it uses less digits than its factorization.

10010410043200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119170 (or 119155 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10010410043200 its reverse (234001401001), we get a palindrome (10244411444201).

The spelling of 10010410043200 in words is "ten trillion, ten billion, four hundred ten million, forty-three thousand, two hundred".