1301424004000 has 96 divisors (see below), whose sum is σ = 3198150118800. Its totient is φ = 520479846400.

The previous prime is 1301424003983. The next prime is 1301424004003. The reversal of 1301424004000 is 4004241031.

It can be written as a sum of positive squares in 8 ways, for example, as 19846047376 + 1281577956624 = 140876^2 + 1132068^2 .

It is not an unprimeable number, because it can be changed into a prime (1301424004003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 26251236 + ... + 26300764.

Almost surely, 2^{1301424004000} is an apocalyptic number.

1301424004000 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 1301424004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599075059400).

1301424004000 is an abundant number, since it is smaller than the sum of its proper divisors (1896726114800).

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

1301424004000 is an equidigital number, since it uses as much as digits as its factorization.

1301424004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56123 (or 56105 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 1301424004000 its reverse (4004241031), we get a palindrome (1305428245031).

The spelling of 1301424004000 in words is "one trillion, three hundred one billion, four hundred twenty-four million, four thousand".