1438498480800 has 576 divisors, whose sum is σ = 4967652049920. Its totient is φ = 360972288000.

The previous prime is 1438498480739. The next prime is 1438498480801. The reversal of 1438498480800 is 80848948341.

It is not an unprimeable number, because it can be changed into a prime (1438498480801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1247613024 + ... + 1247614176.

It is an arithmetic number, because the mean of its divisors is an integer number (8624395920).

Almost surely, 2^{1438498480800} is an apocalyptic number.

1438498480800 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 1438498480800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2483826024960).

1438498480800 is an abundant number, since it is smaller than the sum of its proper divisors (3529153569120).

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

1438498480800 is a wasteful number, since it uses less digits than its factorization.

1438498480800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 57.

The spelling of 1438498480800 in words is "one trillion, four hundred thirty-eight billion, four hundred ninety-eight million, four hundred eighty thousand, eight hundred".