1389975206400 has 1440 divisors, whose sum is σ = 5745695376960. Its totient is φ = 328701542400.

The previous prime is 1389975206363. The next prime is 1389975206407. The reversal of 1389975206400 is 46025799831.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1389975206407) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 1798156414 + ... + 1798157186.

It is an arithmetic number, because the mean of its divisors is an integer number (3990066234).

It is a 1-persistent number, because it is pandigital, but 2⋅1389975206400 = 2779950412800 is not.

Almost surely, 2^{1389975206400} is an apocalyptic number.

1389975206400 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 1389975206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2872847688480).

1389975206400 is an abundant number, since it is smaller than the sum of its proper divisors (4355720170560).

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

1389975206400 is a wasteful number, since it uses less digits than its factorization.

1389975206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 1389975206400 in words is "one trillion, three hundred eighty-nine billion, nine hundred seventy-five million, two hundred six thousand, four hundred".