402144444432 has 240 divisors, whose sum is σ = 1175513601600. Its totient is φ = 128180505600.

The previous prime is 402144444413. The next prime is 402144444437. The reversal of 402144444432 is 234444441204.

It is a happy number.

402144444432 is a `hidden beast` number, since 4 + 0 + 214 + 4 + 4 + 4 + 4 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (402144444437) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211542682 + ... + 211544582.

It is an arithmetic number, because the mean of its divisors is an integer number (4897973340).

Almost surely, 2^402144444432 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 402144444432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587756800800).

402144444432 is an abundant number, since it is smaller than the sum of its proper divisors (773369157168).

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

402144444432 is a wasteful number, since it uses less digits than its factorization.

402144444432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2406 (or 2397 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 402144444432 its reverse (234444441204), we get a palindrome (636588885636).

The spelling of 402144444432 in words is "four hundred two billion, one hundred forty-four million, four hundred forty-four thousand, four hundred thirty-two".