220185239040 has 480 divisors, whose sum is σ = 838748566656. Its totient is φ = 53042872320.

The previous prime is 220185239039. The next prime is 220185239077. The reversal of 220185239040 is 40932581022.

It is a happy number.

220185239040 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 8 + 523 + 90 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×220185239040² (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 = 220185238986 and 220185239004.

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 47 ways as a sum of consecutive naturals, for example, 14069620 + ... + 14085260.

Almost surely, 2^220185239040 is an apocalyptic number.

220185239040 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 220185239040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419374283328).

220185239040 is an abundant number, since it is smaller than the sum of its proper divisors (618563327616).

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

220185239040 is a wasteful number, since it uses less digits than its factorization.

220185239040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15730 (or 15711 counting only the distinct ones).

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

The spelling of 220185239040 in words is "two hundred twenty billion, one hundred eighty-five million, two hundred thirty-nine thousand, forty".