10224190398400 has 504 divisors, whose sum is σ = 28962516374064. Its totient is φ = 3521684275200.

The previous prime is 10224190398397. The next prime is 10224190398427. The reversal of 10224190398400 is 489309142201.

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 71 ways as a sum of consecutive naturals, for example, 784478284 + ... + 784491316.

It is an arithmetic number, because the mean of its divisors is an integer number (57465310266).

Almost surely, 2^{10224190398400} is an apocalyptic number.

10224190398400 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 10224190398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14481258187032).

10224190398400 is an abundant number, since it is smaller than the sum of its proper divisors (18738325975664).

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

10224190398400 is a wasteful number, since it uses less digits than its factorization.

10224190398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13177 (or 13133 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The spelling of 10224190398400 in words is "ten trillion, two hundred twenty-four billion, one hundred ninety million, three hundred ninety-eight thousand, four hundred".