1398144084480 has 2240 divisors, whose sum is σ = 6131337569280. Its totient is φ = 302778777600.

The previous prime is 1398144084479. The next prime is 1398144084499. The reversal of 1398144084480 is 844804418931.

1398144084480 is a `hidden beast` number, since 1 + 3 + 9 + 81 + 4 + 4 + 0 + 84 + 480 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 45101422065 + ... + 45101422095.

It is an arithmetic number, because the mean of its divisors is an integer number (2737204272).

Almost surely, 2^{1398144084480} is an apocalyptic number.

1398144084480 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 1398144084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3065668784640).

1398144084480 is an abundant number, since it is smaller than the sum of its proper divisors (4733193484800).

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

1398144084480 is an frugal number, since it uses more digits than its factorization.

1398144084480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 1398144084480 in words is "one trillion, three hundred ninety-eight billion, one hundred forty-four million, eighty-four thousand, four hundred eighty".