348511640040 has 192 divisors, whose sum is σ = 1215118195200. Its totient is φ = 89731660032.

The previous prime is 348511640033. The next prime is 348511640077. The reversal of 348511640040 is 40046115843.

348511640040 is a `hidden beast` number, since 3 + 4 + 8 + 5 + 1 + 1 + 640 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 348511639977 and 348511640004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 336312 + ... + 900071.

It is an arithmetic number, because the mean of its divisors is an integer number (6328740600).

Almost surely, 2^348511640040 is an apocalyptic number.

348511640040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

348511640040 is an abundant number, since it is smaller than the sum of its proper divisors (866606555160).

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

348511640040 is a wasteful number, since it uses less digits than its factorization.

348511640040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236438 (or 1236422 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 348511640040 its reverse (40046115843), we get a palindrome (388557755883).

The spelling of 348511640040 in words is "three hundred forty-eight billion, five hundred eleven million, six hundred forty thousand, forty".