10241030400 has 432 divisors, whose sum is σ = 36193516800. Its totient is φ = 2542510080.

The previous prime is 10241030383. The next prime is 10241030431. The reversal of 10241030400 is 403014201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10241030400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24441391 + ... + 24441809.

Almost surely, 2^10241030400 is an apocalyptic number.

10241030400 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 10241030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18096758400).

10241030400 is an abundant number, since it is smaller than the sum of its proper divisors (25952486400).

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

10241030400 is a wasteful number, since it uses less digits than its factorization.

10241030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10241030400 its reverse (403014201), we get a palindrome (10644044601).

The spelling of 10241030400 in words is "ten billion, two hundred forty-one million, thirty thousand, four hundred".