1301444144400 has 120 divisors (see below), whose sum is σ = 4169502447264. Its totient is φ = 347006566400.

The previous prime is 1301444144383. The next prime is 1301444144431. The reversal of 1301444144400 is 44414441031.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9709840 + ... + 9842960.

Almost surely, 2^{1301444144400} is an apocalyptic number.

1301444144400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1301444144400 is an abundant number, since it is smaller than the sum of its proper divisors (2868058302864).

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

1301444144400 is a wasteful number, since it uses less digits than its factorization.

1301444144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141289 (or 141278 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 1301444144400 its reverse (44414441031), we get a palindrome (1345858585431).

The spelling of 1301444144400 in words is "one trillion, three hundred one billion, four hundred forty-four million, one hundred forty-four thousand, four hundred".