10013234433400 has 384 divisors, whose sum is σ = 28729102291200. Its totient is φ = 3198149222400.

The previous prime is 10013234433361. The next prime is 10013234433427. The reversal of 10013234433400 is 433443231001.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 47505042 + ... + 47715358.

It is an arithmetic number, because the mean of its divisors is an integer number (74815370550).

Almost surely, 2^{10013234433400} is an apocalyptic number.

10013234433400 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 10013234433400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14364551145600).

10013234433400 is an abundant number, since it is smaller than the sum of its proper divisors (18715867857800).

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

10013234433400 is a wasteful number, since it uses less digits than its factorization.

10013234433400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210447 (or 210438 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 10013234433400 its reverse (433443231001), we get a palindrome (10446677664401).

The spelling of 10013234433400 in words is "ten trillion, thirteen billion, two hundred thirty-four million, four hundred thirty-three thousand, four hundred".