1406116005525 has 96 divisors (see below), whose sum is σ = 3220472448000. Its totient is φ = 584359876800.

The previous prime is 1406116005509. The next prime is 1406116005601. The reversal of 1406116005525 is 5255006116041.

1406116005525 is a `hidden beast` number, since 1 + 40 + 6 + 1 + 1 + 60 + 0 + 552 + 5 = 666.

It is not a de Polignac number, because 1406116005525 - 2⁴ = 1406116005509 is a prime.

It is a super-3 number, since 3×1406116005525³ (a number of 37 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1406116005525.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 13474875 + ... + 13578824.

It is an arithmetic number, because the mean of its divisors is an integer number (33546588000).

Almost surely, 2^{1406116005525} is an apocalyptic number.

1406116005525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1406116005525 is an abundant number, since it is smaller than the sum of its proper divisors (1814356442475).

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

1406116005525 is a wasteful number, since it uses less digits than its factorization.

1406116005525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27053736 (or 27053725 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 1406116005525 in words is "one trillion, four hundred six billion, one hundred sixteen million, five thousand, five hundred twenty-five".