1404145680 has 160 divisors (see below), whose sum is σ = 5080817664. Its totient is φ = 314101248.

The previous prime is 1404145679. The next prime is 1404145703. The reversal of 1404145680 is 865414041.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70069 + ... + 87851.

Almost surely, 2^1404145680 is an apocalyptic number.

1404145680 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 1404145680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540408832).

1404145680 is an abundant number, since it is smaller than the sum of its proper divisors (3676671984).

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

1404145680 is a wasteful number, since it uses less digits than its factorization.

1404145680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17853 (or 17847 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 1404145680 is about 37471.9318957537. The cubic root of 1404145680 is about 1119.7920744967.

The spelling of 1404145680 in words is "one billion, four hundred four million, one hundred forty-five thousand, six hundred eighty".