1406180789856 has 72 divisors (see below), whose sum is σ = 4064381206704. Its totient is φ = 461042876160.

The previous prime is 1406180789821. The next prime is 1406180789857. The reversal of 1406180789856 is 6589870816041.

1406180789856 is a `hidden beast` number, since 1 + 4 + 0 + 618 + 0 + 7 + 8 + 9 + 8 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 1406180789793 and 1406180789802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1406180789857) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40003516 + ... + 40038651.

It is an arithmetic number, because the mean of its divisors is an integer number (56449738982).

Almost surely, 2^{1406180789856} is an apocalyptic number.

1406180789856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1406180789856 is an abundant number, since it is smaller than the sum of its proper divisors (2658200416848).

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

1406180789856 is a wasteful number, since it uses less digits than its factorization.

1406180789856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80042244 (or 80042233 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 1406180789856 in words is "one trillion, four hundred six billion, one hundred eighty million, seven hundred eighty-nine thousand, eight hundred fifty-six".