404232220032 has 128 divisors (see below), whose sum is σ = 1107996460800. Its totient is φ = 130480035840.

The previous prime is 404232220031. The next prime is 404232220037. The reversal of 404232220032 is 230022232404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×404232220032³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 404232219984 and 404232220011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404232220031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2930469 + ... + 3065307.

It is an arithmetic number, because the mean of its divisors is an integer number (8656222350).

Almost surely, 2^404232220032 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 404232220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553998230400).

404232220032 is an abundant number, since it is smaller than the sum of its proper divisors (703764240768).

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

404232220032 is a wasteful number, since it uses less digits than its factorization.

404232220032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135104 (or 135092 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 404232220032 its reverse (230022232404), we get a palindrome (634254452436).

The spelling of 404232220032 in words is "four hundred four billion, two hundred thirty-two million, two hundred twenty thousand, thirty-two".