1398106644480 has 1344 divisors, whose sum is σ = 6059208250368. Its totient is φ = 290334965760.

The previous prime is 1398106644449. The next prime is 1398106644527. The reversal of 1398106644480 is 844466018931.

1398106644480 is a `hidden beast` number, since 1 + 3 + 98 + 10 + 6 + 64 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×1398106644480² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2381782747 + ... + 2381783333.

It is an arithmetic number, because the mean of its divisors is an integer number (4508339472).

Almost surely, 2^{1398106644480} is an apocalyptic number.

1398106644480 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 1398106644480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3029604125184).

1398106644480 is an abundant number, since it is smaller than the sum of its proper divisors (4661101605888).

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

1398106644480 is a wasteful number, since it uses less digits than its factorization.

1398106644480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 1398106644480 in words is "one trillion, three hundred ninety-eight billion, one hundred six million, six hundred forty-four thousand, four hundred eighty".