4113014400000 has 792 divisors, whose sum is σ = 16195083323328. Its totient is φ = 997017600000.

The previous prime is 4113014399981. The next prime is 4113014400067. The reversal of 4113014400000 is 44103114.

It is a tau number, because it is divible by the number of its divisors (792).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 316793509 + ... + 316806491.

Almost surely, 2^{4113014400000} is an apocalyptic number.

4113014400000 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 4113014400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8097541661664).

4113014400000 is an abundant number, since it is smaller than the sum of its proper divisors (12082068923328).

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

4113014400000 is a wasteful number, since it uses less digits than its factorization.

4113014400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13045 (or 13004 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 4113014400000 its reverse (44103114), we get a palindrome (4113058503114).

The spelling of 4113014400000 in words is "four trillion, one hundred thirteen billion, fourteen million, four hundred thousand".