1406116777004 has 96 divisors (see below), whose sum is σ = 2532541213440. Its totient is φ = 682959889152.

The previous prime is 1406116776991. The next prime is 1406116777033. The reversal of 1406116777004 is 4007776116041.

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 31 ways as a sum of consecutive naturals, for example, 4052209559 + ... + 4052209905.

It is an arithmetic number, because the mean of its divisors is an integer number (26380637640).

Almost surely, 2^{1406116777004} is an apocalyptic number.

It is an amenable number.

1406116777004 is a deficient number, since it is larger than the sum of its proper divisors (1126424436436).

1406116777004 is a wasteful number, since it uses less digits than its factorization.

1406116777004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 44.

The spelling of 1406116777004 in words is "one trillion, four hundred six billion, one hundred sixteen million, seven hundred seventy-seven thousand, four".