10143552464400 has 240 divisors, whose sum is σ = 33557400403200. Its totient is φ = 2617647943680.

The previous prime is 10143552464341. The next prime is 10143552464401. The reversal of 10143552464400 is 446425534101.

10143552464400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (10143552464401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4009206 + ... + 6029994.

It is an arithmetic number, because the mean of its divisors is an integer number (139822501680).

Almost surely, 2^{10143552464400} is an apocalyptic number.

10143552464400 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 10143552464400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16778700201600).

10143552464400 is an abundant number, since it is smaller than the sum of its proper divisors (23413847938800).

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

10143552464400 is a wasteful number, since it uses less digits than its factorization.

10143552464400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2020946 (or 2020935 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

Adding to 10143552464400 its reverse (446425534101), we get a palindrome (10589977998501).

The spelling of 10143552464400 in words is "ten trillion, one hundred forty-three billion, five hundred fifty-two million, four hundred sixty-four thousand, four hundred".