4113970468300 has 144 divisors (see below), whose sum is σ = 11169775088640. Its totient is φ = 1277712576000.

The previous prime is 4113970468259. The next prime is 4113970468327. The reversal of 4113970468300 is 38640793114.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1213021 + ... + 3114379.

It is an arithmetic number, because the mean of its divisors is an integer number (77567882560).

Almost surely, 2^{4113970468300} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4113970468300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5584887544320).

4113970468300 is an abundant number, since it is smaller than the sum of its proper divisors (7055804620340).

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

4113970468300 is a wasteful number, since it uses less digits than its factorization.

4113970468300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901672 (or 1901665 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 4113970468300 in words is "four trillion, one hundred thirteen billion, nine hundred seventy million, four hundred sixty-eight thousand, three hundred".