10012144412400 has 480 divisors, whose sum is σ = 36412170805248. Its totient is φ = 2334276403200.

The previous prime is 10012144412299. The next prime is 10012144412407. The reversal of 10012144412400 is 421444121001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012144412407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22508952 + ... + 22949448.

Almost surely, 2^{10012144412400} is an apocalyptic number.

10012144412400 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 10012144412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18206085402624).

10012144412400 is an abundant number, since it is smaller than the sum of its proper divisors (26400026392848).

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

10012144412400 is a wasteful number, since it uses less digits than its factorization.

10012144412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440609 (or 440598 counting only the distinct ones).

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

Adding to 10012144412400 its reverse (421444121001), we get a palindrome (10433588533401).

The spelling of 10012144412400 in words is "ten trillion, twelve billion, one hundred forty-four million, four hundred twelve thousand, four hundred".