1404082068480 has 1584 divisors, whose sum is σ = 6171027033600. Its totient is φ = 288873381888.

The previous prime is 1404082068449. The next prime is 1404082068509. The reversal of 1404082068480 is 848602804041.

1404082068480 is a `hidden beast` number, since 140 + 4 + 0 + 8 + 20 + 6 + 8 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2344043221 + ... + 2344043819.

It is an arithmetic number, because the mean of its divisors is an integer number (3895850400).

Almost surely, 2^{1404082068480} is an apocalyptic number.

1404082068480 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 1404082068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3085513516800).

1404082068480 is an abundant number, since it is smaller than the sum of its proper divisors (4766944965120).

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

1404082068480 is a wasteful number, since it uses less digits than its factorization.

1404082068480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 1404082068480 in words is "one trillion, four hundred four billion, eighty-two million, sixty-eight thousand, four hundred eighty".