5014440069120 has 1152 divisors, whose sum is σ = 19274129521920. Its totient is φ = 1247265423360.

The previous prime is 5014440069071. The next prime is 5014440069137. The reversal of 5014440069120 is 219600444105.

5014440069120 is a `hidden beast` number, since 5 + 0 + 144 + 400 + 6 + 91 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 2346484692 + ... + 2346486828.

It is an arithmetic number, because the mean of its divisors is an integer number (16731015210).

Almost surely, 2^{5014440069120} 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 5014440069120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9637064760960).

5014440069120 is an abundant number, since it is smaller than the sum of its proper divisors (14259689452800).

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

5014440069120 is a wasteful number, since it uses less digits than its factorization.

5014440069120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2243 (or 2211 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 5014440069120 in words is "five trillion, fourteen billion, four hundred forty million, sixty-nine thousand, one hundred twenty".