1404913466880 has 1920 divisors, whose sum is σ = 6601887452160. Its totient is φ = 267119493120.

The previous prime is 1404913466851. The next prime is 1404913466911. The reversal of 1404913466880 is 886643194041.

1404913466880 is a `hidden beast` number, since 1 + 40 + 491 + 34 + 6 + 6 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 1115895691 + ... + 1115896949.

It is an arithmetic number, because the mean of its divisors is an integer number (3438483048).

Almost surely, 2^{1404913466880} is an apocalyptic number.

1404913466880 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 1404913466880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3300943726080).

1404913466880 is an abundant number, since it is smaller than the sum of its proper divisors (5196973985280).

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

1404913466880 is a wasteful number, since it uses less digits than its factorization.

1404913466880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1341 counting only the distinct ones).

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

The spelling of 1404913466880 in words is "one trillion, four hundred four billion, nine hundred thirteen million, four hundred sixty-six thousand, eight hundred eighty".