10403120043200 has 168 divisors, whose sum is σ = 26251458174144. Its totient is φ = 4055274496000.

The previous prime is 10403120043193. The next prime is 10403120043227. The reversal of 10403120043200 is 234002130401.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59674562 + ... + 59848638.

It is an arithmetic number, because the mean of its divisors is an integer number (156258679608).

Almost surely, 2^{10403120043200} is an apocalyptic number.

10403120043200 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 10403120043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13125729087072).

10403120043200 is an abundant number, since it is smaller than the sum of its proper divisors (15848338130944).

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

10403120043200 is a wasteful number, since it uses less digits than its factorization.

10403120043200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175051 (or 175036 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10403120043200 its reverse (234002130401), we get a palindrome (10637122173601).

The spelling of 10403120043200 in words is "ten trillion, four hundred three billion, one hundred twenty million, forty-three thousand, two hundred".