220404313142432 has 96 divisors (see below), whose sum is σ = 462100158092160. Its totient is φ = 103255360552960.

The previous prime is 220404313142417. The next prime is 220404313142467. The reversal of 220404313142432 is 234241313404022.

It is a happy number.

It is a super-2 number, since 2×220404313142432² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220404313142392 and 220404313142401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3170768 + ... + 21233520.

It is an arithmetic number, because the mean of its divisors is an integer number (4813543313460).

Almost surely, 2^{220404313142432} 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 220404313142432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231050079046080).

220404313142432 is an abundant number, since it is smaller than the sum of its proper divisors (241695844949728).

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

220404313142432 is a wasteful number, since it uses less digits than its factorization.

220404313142432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18063126 (or 18063118 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 35.

Adding to 220404313142432 its reverse (234241313404022), we get a palindrome (454645626546454).

The spelling of 220404313142432 in words is "two hundred twenty trillion, four hundred four billion, three hundred thirteen million, one hundred forty-two thousand, four hundred thirty-two".