10301230424400 has 120 divisors (see below), whose sum is σ = 32999218391040. Its totient is φ = 2746916229120.

The previous prime is 10301230424371. The next prime is 10301230424483. The reversal of 10301230424400 is 442403210301.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×10301230424400² (a number of 27 digits) contains 22 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 50585184 + ... + 50788416.

It is an arithmetic number, because the mean of its divisors is an integer number (274993486592).

Almost surely, 2^{10301230424400} is an apocalyptic number.

10301230424400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10301230424400 is an abundant number, since it is smaller than the sum of its proper divisors (22697987966640).

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

10301230424400 is a wasteful number, since it uses less digits than its factorization.

10301230424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245493 (or 245482 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10301230424400 its reverse (442403210301), we get a palindrome (10743633634701).

The spelling of 10301230424400 in words is "ten trillion, three hundred one billion, two hundred thirty million, four hundred twenty-four thousand, four hundred".