416431384632 has 128 divisors (see below), whose sum is σ = 1195909632000. Its totient is φ = 134125580160.

The previous prime is 416431384631. The next prime is 416431384639. The reversal of 416431384632 is 236483134614.

416431384632 is a `hidden beast` number, since 4 + 1 + 6 + 4 + 3 + 1 + 3 + 8 + 4 + 632 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416431384631) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4324869 + ... + 4420107.

It is an arithmetic number, because the mean of its divisors is an integer number (9343044000).

Almost surely, 2^416431384632 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 416431384632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597954816000).

416431384632 is an abundant number, since it is smaller than the sum of its proper divisors (779478247368).

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

416431384632 is a wasteful number, since it uses less digits than its factorization.

416431384632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95938 (or 95928 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The spelling of 416431384632 in words is "four hundred sixteen billion, four hundred thirty-one million, three hundred eighty-four thousand, six hundred thirty-two".