355155431324040 has 192 divisors, whose sum is σ = 1174081993072560. Its totient is φ = 93083691663360.

The previous prime is 355155431324039. The next prime is 355155431324051. The reversal of 355155431324040 is 40423134551553.

355155431324040 is a `hidden beast` number, since 3 + 5 + 5 + 1 + 5 + 54 + 313 + 240 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 89117866931076 + 266037564392964 = 9440226^2 + 16310658^2 .

It is a super-2 number, since 2×355155431324040² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 22247412 + ... + 34716828.

Almost surely, 2^{355155431324040} is an apocalyptic number.

355155431324040 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 355155431324040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587040996536280).

355155431324040 is an abundant number, since it is smaller than the sum of its proper divisors (818926561748520).

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

355155431324040 is a wasteful number, since it uses less digits than its factorization.

355155431324040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12470792 (or 12470785 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

Adding to 355155431324040 its reverse (40423134551553), we get a palindrome (395578565875593).

The spelling of 355155431324040 in words is "three hundred fifty-five trillion, one hundred fifty-five billion, four hundred thirty-one million, three hundred twenty-four thousand, forty".