5872430039040 has 720 divisors, whose sum is σ = 21861513273600. Its totient is φ = 1452885934080.

The previous prime is 5872430039029. The next prime is 5872430039081. The reversal of 5872430039040 is 409300342785.

5872430039040 is a `hidden beast` number, since 587 + 2 + 4 + 30 + 0 + 39 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 889893661 + ... + 889900259.

It is an arithmetic number, because the mean of its divisors is an integer number (30363212880).

Almost surely, 2^{5872430039040} 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 5872430039040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10930756636800).

5872430039040 is an abundant number, since it is smaller than the sum of its proper divisors (15989083234560).

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

5872430039040 is a wasteful number, since it uses less digits than its factorization.

5872430039040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6726 (or 6697 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 5872430039040 in words is "five trillion, eight hundred seventy-two billion, four hundred thirty million, thirty-nine thousand, forty".