4115330505400 has 96 divisors (see below), whose sum is σ = 9680574600000. Its totient is φ = 1626808043520.

The previous prime is 4115330505397. The next prime is 4115330505431. The reversal of 4115330505400 is 45050335114.

4115330505400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35524372 + ... + 35640028.

It is an arithmetic number, because the mean of its divisors is an integer number (100839318750).

Almost surely, 2^{4115330505400} is an apocalyptic number.

4115330505400 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 4115330505400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4840287300000).

4115330505400 is an abundant number, since it is smaller than the sum of its proper divisors (5565244094600).

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

4115330505400 is a wasteful number, since it uses less digits than its factorization.

4115330505400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117761 (or 117752 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The spelling of 4115330505400 in words is "four trillion, one hundred fifteen billion, three hundred thirty million, five hundred five thousand, four hundred".