10421234143200 has 432 divisors, whose sum is σ = 37621066378896. Its totient is φ = 2713026355200.

The previous prime is 10421234143153. The next prime is 10421234143223. The reversal of 10421234143200 is 234143212401.

10421234143200 is a `hidden beast` number, since 1 + 0 + 4 + 21 + 23 + 414 + 3 + 200 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 729720060 + ... + 729734340.

It is an arithmetic number, because the mean of its divisors is an integer number (87085801803).

Almost surely, 2^{10421234143200} is an apocalyptic number.

10421234143200 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 10421234143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18810533189448).

10421234143200 is an abundant number, since it is smaller than the sum of its proper divisors (27199832235696).

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

10421234143200 is a wasteful number, since it uses less digits than its factorization.

10421234143200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16707 (or 16691 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10421234143200 its reverse (234143212401), we get a palindrome (10655377355601).

The spelling of 10421234143200 in words is "ten trillion, four hundred twenty-one billion, two hundred thirty-four million, one hundred forty-three thousand, two hundred".