4114311320000 has 280 divisors, whose sum is σ = 12035747328000. Its totient is φ = 1365114240000.

The previous prime is 4114311319961. The next prime is 4114311320023. The reversal of 4114311320000 is 231134114.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8443001 + ... + 8916999.

Almost surely, 2^{4114311320000} is an apocalyptic number.

4114311320000 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 4114311320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6017873664000).

4114311320000 is an abundant number, since it is smaller than the sum of its proper divisors (7921436008000).

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

4114311320000 is an equidigital number, since it uses as much as digits as its factorization.

4114311320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474069 (or 474044 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 4114311320000 its reverse (231134114), we get a palindrome (4114542454114).

The spelling of 4114311320000 in words is "four trillion, one hundred fourteen billion, three hundred eleven million, three hundred twenty thousand".