406148032192448 has 224 divisors, whose sum is σ = 995778214671744. Its totient is φ = 160052486750208.

The previous prime is 406148032192379. The next prime is 406148032192457. The reversal of 406148032192448 is 844291230841604.

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 (56).

It is a junction number, because it is equal to n+sod(n) for n = 406148032192393 and 406148032192402.

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, 3817235186 + ... + 3817341582.

It is an arithmetic number, because the mean of its divisors is an integer number (4445438458356).

Almost surely, 2^{406148032192448} 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 406148032192448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497889107335872).

406148032192448 is an abundant number, since it is smaller than the sum of its proper divisors (589630182479296).

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

406148032192448 is a wasteful number, since it uses less digits than its factorization.

406148032192448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108959 (or 108949 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 56.

The spelling of 406148032192448 in words is "four hundred six trillion, one hundred forty-eight billion, thirty-two million, one hundred ninety-two thousand, four hundred forty-eight".