4135213351320 has 256 divisors, whose sum is σ = 13077681776640. Its totient is φ = 1043980320768.

The previous prime is 4135213351231. The next prime is 4135213351363. The reversal of 4135213351320 is 231533125314.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 891784042 + ... + 891788678.

It is an arithmetic number, because the mean of its divisors is an integer number (51084694440).

Almost surely, 2^{4135213351320} is an apocalyptic number.

4135213351320 is a gapful number since it is divisible by the number (40) 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 4135213351320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6538840888320).

4135213351320 is an abundant number, since it is smaller than the sum of its proper divisors (8942468425320).

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

4135213351320 is a wasteful number, since it uses less digits than its factorization.

4135213351320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7914 (or 7910 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

Adding to 4135213351320 its reverse (231533125314), we get a palindrome (4366746476634).

The spelling of 4135213351320 in words is "four trillion, one hundred thirty-five billion, two hundred thirteen million, three hundred fifty-one thousand, three hundred twenty".