1408996892484 has 120 divisors (see below), whose sum is σ = 3774595227480. Its totient is φ = 458139442176.

The previous prime is 1408996892447. The next prime is 1408996892503. The reversal of 1408996892484 is 4842986998041.

1408996892484 is a `hidden beast` number, since 1 + 4 + 0 + 89 + 9 + 68 + 9 + 2 + 484 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 212270289984 + 1196726602500 = 460728^2 + 1093950^2 .

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 39 ways as a sum of consecutive naturals, for example, 2733612 + ... + 3207900.

It is an arithmetic number, because the mean of its divisors is an integer number (31454960229).

Almost surely, 2^{1408996892484} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1408996892484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887297613740).

1408996892484 is an abundant number, since it is smaller than the sum of its proper divisors (2365598334996).

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

1408996892484 is a wasteful number, since it uses less digits than its factorization.

1408996892484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474531 (or 474520 counting only the distinct ones).

The product of its (nonzero) digits is 286654464, while the sum is 72.

The spelling of 1408996892484 in words is "one trillion, four hundred eight billion, nine hundred ninety-six million, eight hundred ninety-two thousand, four hundred eighty-four".