350315005440 has 160 divisors (see below), whose sum is σ = 1150182142560. Its totient is φ = 90892468224.

The previous prime is 350315005423. The next prime is 350315005441. The reversal of 350315005440 is 44500513053.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 350315005398 and 350315005407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350315005441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 332245 + ... + 900564.

It is an arithmetic number, because the mean of its divisors is an integer number (7188638391).

Almost surely, 2^350315005440 is an apocalyptic number.

350315005440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

350315005440 is an abundant number, since it is smaller than the sum of its proper divisors (799867137120).

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

350315005440 is a wasteful number, since it uses less digits than its factorization.

350315005440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232872 (or 1232856 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

Adding to 350315005440 its reverse (44500513053), we get a palindrome (394815518493).

The spelling of 350315005440 in words is "three hundred fifty billion, three hundred fifteen million, five thousand, four hundred forty".