352213115040 has 72 divisors (see below), whose sum is σ = 1201927259988. Its totient is φ = 93923496960.

The previous prime is 352213114999. The next prime is 352213115053. The reversal of 352213115040 is 40511312253.

352213115040 is a `hidden beast` number, since 3 + 5 + 22 + 131 + 1 + 504 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 331126590096 + 21086524944 = 575436^2 + 145212^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 352213114995 and 352213115013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122294781 + ... + 122297660.

Almost surely, 2^352213115040 is an apocalyptic number.

352213115040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

352213115040 is an abundant number, since it is smaller than the sum of its proper divisors (849714144948).

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

352213115040 is a wasteful number, since it uses less digits than its factorization.

352213115040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244592462 (or 244592451 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 352213115040 its reverse (40511312253), we get a palindrome (392724427293).

The spelling of 352213115040 in words is "three hundred fifty-two billion, two hundred thirteen million, one hundred fifteen thousand, forty".