10211241440400 has 1920 divisors, whose sum is σ = 46971665620992. Its totient is φ = 1824768000000.

The previous prime is 10211241440359. The next prime is 10211241440423. The reversal of 10211241440400 is 404414211201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2062457925 + ... + 2062462875.

Almost surely, 2^{10211241440400} is an apocalyptic number.

10211241440400 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 10211241440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23485832810496).

10211241440400 is an abundant number, since it is smaller than the sum of its proper divisors (36760424180592).

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

10211241440400 is a wasteful number, since it uses less digits than its factorization.

10211241440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5121 (or 5110 counting only the distinct ones).

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

Adding to 10211241440400 its reverse (404414211201), we get a palindrome (10615655651601).

It can be divided in two parts, 1021 and 1241440400, that added together give a palindrome (1241441421).

The spelling of 10211241440400 in words is "ten trillion, two hundred eleven billion, two hundred forty-one million, four hundred forty thousand, four hundred".