10301424424000 has 224 divisors, whose sum is σ = 25764759008352. Its totient is φ = 4079738880000.

The previous prime is 10301424423973. The next prime is 10301424424063. The reversal of 10301424424000 is 42442410301.

10301424424000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 10291315328064 + 10109095936 = 3208008^2 + 100544^2 .

It is a super-2 number, since 2×10301424424000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 922978420 + ... + 922989580.

It is an arithmetic number, because the mean of its divisors is an integer number (115021245573).

Almost surely, 2^{10301424424000} is an apocalyptic number.

10301424424000 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 10301424424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12882379504176).

10301424424000 is an abundant number, since it is smaller than the sum of its proper divisors (15463334584352).

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

10301424424000 is a wasteful number, since it uses less digits than its factorization.

10301424424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12322 (or 12302 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 10301424424000 its reverse (42442410301), we get a palindrome (10343866834301).

The spelling of 10301424424000 in words is "ten trillion, three hundred one billion, four hundred twenty-four million, four hundred twenty-four thousand".