1408436275104 has 144 divisors (see below), whose sum is σ = 4086392454144. Its totient is φ = 460025049600.

The previous prime is 1408436275087. The next prime is 1408436275139. The reversal of 1408436275104 is 4015726348041.

1408436275104 is a `hidden beast` number, since 1 + 4 + 0 + 8 + 4 + 3 + 627 + 5 + 10 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 1408436275104.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4467969 + ... + 4772799.

It is an arithmetic number, because the mean of its divisors is an integer number (28377725376).

Almost surely, 2^{1408436275104} 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 1408436275104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2043196227072).

1408436275104 is an abundant number, since it is smaller than the sum of its proper divisors (2677956179040).

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

1408436275104 is a wasteful number, since it uses less digits than its factorization.

1408436275104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305171 (or 305160 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 1408436275104 in words is "one trillion, four hundred eight billion, four hundred thirty-six million, two hundred seventy-five thousand, one hundred four".