10424133240400 has 240 divisors, whose sum is σ = 28771265217600. Its totient is φ = 3589512192000.

The previous prime is 10424133240359. The next prime is 10424133240413. The reversal of 10424133240400 is 404233142401.

It is a super-2 number, since 2×10424133240400² (a number of 27 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 199025416 + ... + 199077784.

It is an arithmetic number, because the mean of its divisors is an integer number (119880271740).

Almost surely, 2^{10424133240400} is an apocalyptic number.

10424133240400 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 10424133240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14385632608800).

10424133240400 is an abundant number, since it is smaller than the sum of its proper divisors (18347131977200).

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

10424133240400 is a wasteful number, since it uses less digits than its factorization.

10424133240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54798 (or 54787 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 10424133240400 its reverse (404233142401), we get a palindrome (10828366382801).

The spelling of 10424133240400 in words is "ten trillion, four hundred twenty-four billion, one hundred thirty-three million, two hundred forty thousand, four hundred".