5014265430240 has 288 divisors, whose sum is σ = 18668888574336. Its totient is φ = 1215439764480.

The previous prime is 5014265430233. The next prime is 5014265430257. The reversal of 5014265430240 is 420345624105.

5014265430240 is a `hidden beast` number, since 5 + 0 + 142 + 65 + 430 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 5014265430195 and 5014265430204.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 227879079 + ... + 227901081.

It is an arithmetic number, because the mean of its divisors is an integer number (64822529772).

Almost surely, 2^{5014265430240} 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 5014265430240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9334444287168).

5014265430240 is an abundant number, since it is smaller than the sum of its proper divisors (13654623144096).

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

5014265430240 is a wasteful number, since it uses less digits than its factorization.

5014265430240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36422 (or 36411 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 5014265430240 in words is "five trillion, fourteen billion, two hundred sixty-five million, four hundred thirty thousand, two hundred forty".