355042004040 has 96 divisors (see below), whose sum is σ = 1154909878200. Its totient is φ = 94593899520.

The previous prime is 355042003961. The next prime is 355042004041. The reversal of 355042004040 is 40400240553.

355042004040 is a `hidden beast` number, since 3 + 5 + 50 + 4 + 200 + 404 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 206204993604 + 148837010436 = 454098^2 + 385794^2 .

It is a junction number, because it is equal to n+sod(n) for n = 355042003995 and 355042004013.

It is not an unprimeable number, because it can be changed into a prime (355042004041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30331 + ... + 843210.

Almost surely, 2^355042004040 is an apocalyptic number.

355042004040 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 355042004040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577454939100).

355042004040 is an abundant number, since it is smaller than the sum of its proper divisors (799867874160).

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

355042004040 is a wasteful number, since it uses less digits than its factorization.

355042004040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874687 (or 874680 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

Adding to 355042004040 its reverse (40400240553), we get a palindrome (395442244593).

The spelling of 355042004040 in words is "three hundred fifty-five billion, forty-two million, four thousand, forty".