353444442540 has 192 divisors, whose sum is σ = 1148518103040. Its totient is φ = 79540715520.

The previous prime is 353444442517. The next prime is 353444442541. The reversal of 353444442540 is 45244444353.

It is a super-2 number, since 2×353444442540² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 353444442492 and 353444442501.

It is not an unprimeable number, because it can be changed into a prime (353444442541) 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 63 ways as a sum of consecutive naturals, for example, 22923874 + ... + 22939286.

It is an arithmetic number, because the mean of its divisors is an integer number (5981865120).

Almost surely, 2^353444442540 is an apocalyptic number.

353444442540 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 353444442540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574259051520).

353444442540 is an abundant number, since it is smaller than the sum of its proper divisors (795073660500).

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

353444442540 is a wasteful number, since it uses less digits than its factorization.

353444442540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16272 (or 16270 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 42.

Adding to 353444442540 its reverse (45244444353), we get a palindrome (398688886893).

The spelling of 353444442540 in words is "three hundred fifty-three billion, four hundred forty-four million, four hundred forty-two thousand, five hundred forty".