10541430230400 has 1152 divisors, whose sum is σ = 40986315770400. Its totient is φ = 2569273344000.

The previous prime is 10541430230377. The next prime is 10541430230497. The reversal of 10541430230400 is 403203414501.

It is a happy number.

10541430230400 is a `hidden beast` number, since 1 + 0 + 54 + 1 + 4 + 302 + 304 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×10541430230400² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 4837736511 + ... + 4837738689.

Almost surely, 2^{10541430230400} is an apocalyptic number.

10541430230400 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 10541430230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20493157885200).

10541430230400 is an abundant number, since it is smaller than the sum of its proper divisors (30444885540000).

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

10541430230400 is a wasteful number, since it uses less digits than its factorization.

10541430230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2508 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 10541430230400 its reverse (403203414501), we get a palindrome (10944633644901).

The spelling of 10541430230400 in words is "ten trillion, five hundred forty-one billion, four hundred thirty million, two hundred thirty thousand, four hundred".