405132663026112 has 224 divisors, whose sum is σ = 1233947657779200. Its totient is φ = 114911021509632.

The previous prime is 405132663026053. The next prime is 405132663026137. The reversal of 405132663026112 is 211620366231504.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2817673839 + ... + 2817817617.

It is an arithmetic number, because the mean of its divisors is an integer number (5508694900800).

Almost surely, 2^{405132663026112} is an apocalyptic number.

405132663026112 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405132663026112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616973828889600).

405132663026112 is an abundant number, since it is smaller than the sum of its proper divisors (828814994753088).

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

405132663026112 is a wasteful number, since it uses less digits than its factorization.

405132663026112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159023 (or 159013 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 405132663026112 in words is "four hundred five trillion, one hundred thirty-two billion, six hundred sixty-three million, twenty-six thousand, one hundred twelve".