406261545012 has 72 divisors (see below), whose sum is σ = 1041214958784. Its totient is φ = 133538702976.

The previous prime is 406261545007. The next prime is 406261545043. The reversal of 406261545012 is 210545162604.

406261545012 is a `hidden beast` number, since 4 + 0 + 626 + 15 + 4 + 5 + 0 + 12 = 666.

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 23 ways as a sum of consecutive naturals, for example, 16446823 + ... + 16471505.

It is an arithmetic number, because the mean of its divisors is an integer number (14461318872).

Almost surely, 2^406261545012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406261545012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520607479392).

406261545012 is an abundant number, since it is smaller than the sum of its proper divisors (634953413772).

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

406261545012 is a wasteful number, since it uses less digits than its factorization.

406261545012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31029 (or 31024 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 406261545012 in words is "four hundred six billion, two hundred sixty-one million, five hundred forty-five thousand, twelve".