4121434021320 has 384 divisors, whose sum is σ = 17055157616640. Its totient is φ = 838180293120.

The previous prime is 4121434021319. The next prime is 4121434021321. The reversal of 4121434021320 is 231204341214.

4121434021320 is a `hidden beast` number, since 4 + 12 + 1 + 434 + 0 + 213 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4121434021319) and next prime (4121434021321).

It is not an unprimeable number, because it can be changed into a prime (4121434021321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 278872 + ... + 2884551.

It is an arithmetic number, because the mean of its divisors is an integer number (44414472960).

Almost surely, 2^{4121434021320} is an apocalyptic number.

4121434021320 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 4121434021320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8527578808320).

4121434021320 is an abundant number, since it is smaller than the sum of its proper divisors (12933723595320).

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

4121434021320 is a wasteful number, since it uses less digits than its factorization.

4121434021320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3163505 (or 3163498 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 4121434021320 its reverse (231204341214), we get a palindrome (4352638362534).

The spelling of 4121434021320 in words is "four trillion, one hundred twenty-one billion, four hundred thirty-four million, twenty-one thousand, three hundred twenty".