10241142212400 has 480 divisors, whose sum is σ = 36677968459776. Its totient is φ = 2421027840000.

The previous prime is 10241142212387. The next prime is 10241142212401. The reversal of 10241142212400 is 421224114201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10241142212401) by changing a digit.

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, 2119877985 + ... + 2119882815.

Almost surely, 2^{10241142212400} is an apocalyptic number.

10241142212400 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 10241142212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18338984229888).

10241142212400 is an abundant number, since it is smaller than the sum of its proper divisors (26436826247376).

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

10241142212400 is a wasteful number, since it uses less digits than its factorization.

10241142212400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8821 (or 8810 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 10241142212400 its reverse (421224114201), we get a palindrome (10662366326601).

The spelling of 10241142212400 in words is "ten trillion, two hundred forty-one billion, one hundred forty-two million, two hundred twelve thousand, four hundred".