345050041050 has 480 divisors, whose sum is σ = 1144919470464. Its totient is φ = 75940416000.

The previous prime is 345050041003. The next prime is 345050041051. The reversal of 345050041050 is 50140050543.

345050041050 is a `hidden beast` number, since 3 + 4 + 50 + 500 + 4 + 105 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (345050041051) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 35323267 + ... + 35333033.

Almost surely, 2^345050041050 is an apocalyptic number.

345050041050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 345050041050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572459735232).

345050041050 is an abundant number, since it is smaller than the sum of its proper divisors (799869429414).

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

345050041050 is a wasteful number, since it uses less digits than its factorization.

345050041050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9876 (or 9862 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

Adding to 345050041050 its reverse (50140050543), we get a palindrome (395190091593).

The spelling of 345050041050 in words is "three hundred forty-five billion, fifty million, forty-one thousand, fifty".