1389009044400 has 240 divisors, whose sum is σ = 4604899196160. Its totient is φ = 357473715200.

The previous prime is 1389009044389. The next prime is 1389009044411. The reversal of 1389009044400 is 44409009831.

It is an interprime number because it is at equal distance from previous prime (1389009044389) and next prime (1389009044411).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1389009044400² (a number of 25 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 94335439 + ... + 94350161.

It is an arithmetic number, because the mean of its divisors is an integer number (19187079984).

Almost surely, 2^{1389009044400} is an apocalyptic number.

1389009044400 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 1389009044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2302449598080).

1389009044400 is an abundant number, since it is smaller than the sum of its proper divisors (3215890151760).

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

1389009044400 is a wasteful number, since it uses less digits than its factorization.

1389009044400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17484 (or 17473 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 1389009044400 in words is "one trillion, three hundred eighty-nine billion, nine million, forty-four thousand, four hundred".