405126470016 has 96 divisors (see below), whose sum is σ = 1190597896800. Its totient is φ = 132168901632.

The previous prime is 405126469987. The next prime is 405126470053. The reversal of 405126470016 is 610074621504.

405126470016 is a `hidden beast` number, since 4 + 0 + 5 + 1 + 2 + 647 + 0 + 0 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

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 11 ways as a sum of consecutive naturals, for example, 3687051 + ... + 3795338.

It is an arithmetic number, because the mean of its divisors is an integer number (12402061425).

Almost surely, 2^405126470016 is an apocalyptic number.

It is an amenable number.

405126470016 is an abundant number, since it is smaller than the sum of its proper divisors (785471426784).

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

405126470016 is a wasteful number, since it uses less digits than its factorization.

405126470016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7482456 (or 7482441 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 405126470016 in words is "four hundred five billion, one hundred twenty-six million, four hundred seventy thousand, sixteen".