1406116535004 has 72 divisors (see below), whose sum is σ = 3656150578080. Its totient is φ = 455376153600.

The previous prime is 1406116535003. The next prime is 1406116535011. The reversal of 1406116535004 is 4005356116041.

1406116535004 is a `hidden beast` number, since 1 + 4 + 0 + 6 + 116 + 535 + 0 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1406116535004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1406116535003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1620744 + ... + 2332175.

It is an arithmetic number, because the mean of its divisors is an integer number (50779869140).

Almost surely, 2^{1406116535004} is an apocalyptic number.

It is an amenable number.

1406116535004 is an abundant number, since it is smaller than the sum of its proper divisors (2250034043076).

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

1406116535004 is a wasteful number, since it uses less digits than its factorization.

1406116535004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3953211 (or 3953206 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 1406116535004 in words is "one trillion, four hundred six billion, one hundred sixteen million, five hundred thirty-five thousand, four".