353315041040 has 80 divisors (see below), whose sum is σ = 886875871728. Its totient is φ = 130126030848.

The previous prime is 353315041021. The next prime is 353315041049. The reversal of 353315041040 is 40140513353.

It can be written as a sum of positive squares in 8 ways, for example, as 43925453056 + 309389587984 = 209584^2 + 556228^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 353315040994 and 353315041012.

It is not an unprimeable number, because it can be changed into a prime (353315041049) 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, 14987 + ... + 840746.

Almost surely, 2^353315041040 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 353315041040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443437935864).

353315041040 is an abundant number, since it is smaller than the sum of its proper divisors (533560830688).

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

353315041040 is a wasteful number, since it uses less digits than its factorization.

353315041040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856156 (or 856150 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

Adding to 353315041040 its reverse (40140513353), we get a palindrome (393455554393).

The spelling of 353315041040 in words is "three hundred fifty-three billion, three hundred fifteen million, forty-one thousand, forty".