352441144440 has 448 divisors, whose sum is σ = 1482330447360. Its totient is φ = 73234056960.

The previous prime is 352441144427. The next prime is 352441144441. The reversal of 352441144440 is 44441144253.

352441144440 is a `hidden beast` number, since 3 + 524 + 41 + 14 + 44 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 352441144395 and 352441144404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352441144441) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2166837 + ... + 2323803.

It is an arithmetic number, because the mean of its divisors is an integer number (3308773320).

Almost surely, 2^352441144440 is an apocalyptic number.

352441144440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352441144440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741165223680).

352441144440 is an abundant number, since it is smaller than the sum of its proper divisors (1129889302920).

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

352441144440 is a wasteful number, since it uses less digits than its factorization.

352441144440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157014 (or 156995 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 352441144440 its reverse (44441144253), we get a palindrome (396882288693).

The spelling of 352441144440 in words is "three hundred fifty-two billion, four hundred forty-one million, one hundred forty-four thousand, four hundred forty".