1300038444000 has 1536 divisors, whose sum is σ = 5217111244800. Its totient is φ = 313217280000.

The previous prime is 1300038443993. The next prime is 1300038444013. The reversal of 1300038444000 is 4448300031.

It is a super-2 number, since 2×1300038444000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6806483905 + ... + 6806484095.

It is an arithmetic number, because the mean of its divisors is an integer number (3396556800).

Almost surely, 2^{1300038444000} is an apocalyptic number.

1300038444000 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 1300038444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2608555622400).

1300038444000 is an abundant number, since it is smaller than the sum of its proper divisors (3917072800800).

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

1300038444000 is a wasteful number, since it uses less digits than its factorization.

1300038444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 1300038444000 in words is "one trillion, three hundred billion, thirty-eight million, four hundred forty-four thousand".