3418213050000 has 2160 divisors, whose sum is σ = 15073753968000. Its totient is φ = 718502400000.

The previous prime is 3418213049947. The next prime is 3418213050023. The reversal of 3418213050000 is 503128143.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 17176949901 + ... + 17176950099.

It is an arithmetic number, because the mean of its divisors is an integer number (6978589800).

Almost surely, 2^{3418213050000} is an apocalyptic number.

3418213050000 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 3418213050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7536876984000).

3418213050000 is an abundant number, since it is smaller than the sum of its proper divisors (11655540918000).

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

3418213050000 is a wasteful number, since it uses less digits than its factorization.

3418213050000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 3418213050000 its reverse (503128143), we get a palindrome (3418716178143).

The spelling of 3418213050000 in words is "three trillion, four hundred eighteen billion, two hundred thirteen million, fifty thousand".