220715436240 has 240 divisors, whose sum is σ = 811342393680. Its totient is φ = 53439160320.

The previous prime is 220715436181. The next prime is 220715436241. The reversal of 220715436240 is 42634517022.

220715436240 is a `hidden beast` number, since 2 + 2 + 0 + 71 + 543 + 6 + 2 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 40189022784 + 180526413456 = 200472^2 + 424884^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×220715436240² (a number of 23 digits) contains 22 as substring.

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 = 220715436195 and 220715436204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220715436241) by changing a digit.

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, 377676 + ... + 764244.

It is an arithmetic number, because the mean of its divisors is an integer number (3380593307).

Almost surely, 2^220715436240 is an apocalyptic number.

220715436240 is a gapful number since it is divisible by the number (20) 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 220715436240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405671196840).

220715436240 is an abundant number, since it is smaller than the sum of its proper divisors (590626957440).

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

220715436240 is a wasteful number, since it uses less digits than its factorization.

220715436240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386662 (or 386653 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 220715436240 in words is "two hundred twenty billion, seven hundred fifteen million, four hundred thirty-six thousand, two hundred forty".