1301400042400 has 36 divisors (see below), whose sum is σ = 3177042855462. Its totient is φ = 520560016640.

The previous prime is 1301400042379. The next prime is 1301400042401. The reversal of 1301400042400 is 42400041031.

It can be written as a sum of positive squares in 3 ways, for example, as 704384204176 + 597015838224 = 839276^2 + 772668^2 .

It is not an unprimeable number, because it can be changed into a prime (1301400042401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 813374227 + ... + 813375826.

Almost surely, 2^{1301400042400} is an apocalyptic number.

1301400042400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1301400042400 is an abundant number, since it is smaller than the sum of its proper divisors (1875642813062).

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

1301400042400 is a wasteful number, since it uses less digits than its factorization.

1301400042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626750073 (or 1626750060 counting only the distinct ones).

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

Adding to 1301400042400 its reverse (42400041031), we get a palindrome (1343800083431).

The spelling of 1301400042400 in words is "one trillion, three hundred one billion, four hundred million, forty-two thousand, four hundred".