10434412234400 has 288 divisors, whose sum is σ = 31799786433408. Its totient is φ = 3248062156800.

The previous prime is 10434412234357. The next prime is 10434412234417. The reversal of 10434412234400 is 443221443401.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47507234 + ... + 47726366.

It is an arithmetic number, because the mean of its divisors is an integer number (110415925116).

Almost surely, 2^{10434412234400} is an apocalyptic number.

10434412234400 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 10434412234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15899893216704).

10434412234400 is an abundant number, since it is smaller than the sum of its proper divisors (21365374199008).

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

10434412234400 is a wasteful number, since it uses less digits than its factorization.

10434412234400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219944 (or 219931 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 10434412234400 its reverse (443221443401), we get a palindrome (10877633677801).

The spelling of 10434412234400 in words is "ten trillion, four hundred thirty-four billion, four hundred twelve million, two hundred thirty-four thousand, four hundred".