632144042406 has 192 divisors, whose sum is σ = 1497298682880. Its totient is φ = 192083451840.

The previous prime is 632144042357. The next prime is 632144042417. The reversal of 632144042406 is 604240441236.

632144042406 is a `hidden beast` number, since 6 + 3 + 2 + 1 + 4 + 404 + 240 + 6 = 666.

632144042406 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 696961005 + ... + 696961911.

It is an arithmetic number, because the mean of its divisors is an integer number (7798430640).

Almost surely, 2^632144042406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 632144042406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748649341440).

632144042406 is an abundant number, since it is smaller than the sum of its proper divisors (865154640474).

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

632144042406 is a wasteful number, since it uses less digits than its factorization.

632144042406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1631 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 632144042406 in words is "six hundred thirty-two billion, one hundred forty-four million, forty-two thousand, four hundred six".