5218007040 has 384 divisors, whose sum is σ = 18857966400. Its totient is φ = 1385496576.

The previous prime is 5218007027. The next prime is 5218007057. The reversal of 5218007040 is 407008125.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5218006995 and 5218007013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22394764 + ... + 22394996.

Almost surely, 2^5218007040 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 5218007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9428983200).

5218007040 is an abundant number, since it is smaller than the sum of its proper divisors (13639959360).

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

5218007040 is an frugal number, since it uses more digits than its factorization.

5218007040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 5218007040 is about 72235.7739627672. The cubic root of 5218007040 is about 1734.4757019104.

The spelling of 5218007040 in words is "five billion, two hundred eighteen million, seven thousand, forty".