220104320040 has 192 divisors, whose sum is σ = 787664554560. Its totient is φ = 52859842560.

The previous prime is 220104320039. The next prime is 220104320087. The reversal of 220104320040 is 40023401022.

220104320040 is a `hidden beast` number, since 220 + 10 + 432 + 0 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220104319995 and 220104320022.

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, 163992 + ... + 683448.

It is an arithmetic number, because the mean of its divisors is an integer number (4102419555).

Almost surely, 2^220104320040 is an apocalyptic number.

220104320040 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 220104320040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393832277280).

220104320040 is an abundant number, since it is smaller than the sum of its proper divisors (567560234520).

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

220104320040 is a wasteful number, since it uses less digits than its factorization.

220104320040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519592 (or 519585 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 220104320040 its reverse (40023401022), we get a palindrome (260127721062).

The spelling of 220104320040 in words is "two hundred twenty billion, one hundred four million, three hundred twenty thousand, forty".