1406665040 has 80 divisors (see below), whose sum is σ = 3573628416. Its totient is φ = 510681600.

The previous prime is 1406664991. The next prime is 1406665087. The reversal of 1406665040 is 405666041.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1406664988 and 1406665006.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 871274 + ... + 872886.

Almost surely, 2^1406665040 is an apocalyptic number.

1406665040 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 1406665040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786814208).

1406665040 is an abundant number, since it is smaller than the sum of its proper divisors (2166963376).

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

1406665040 is a wasteful number, since it uses less digits than its factorization.

1406665040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2628 (or 2622 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 1406665040 is about 37505.5334584112. The cubic root of 1406665040 is about 1120.4613957814.

The spelling of 1406665040 in words is "one billion, four hundred six million, six hundred sixty-five thousand, forty".