100220662440 has 384 divisors, whose sum is σ = 343178035200. Its totient is φ = 25339184640.

The previous prime is 100220662427. The next prime is 100220662447. The reversal of 100220662440 is 44266022001.

100220662440 is a `hidden beast` number, since 10 + 0 + 2 + 20 + 6 + 624 + 4 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (100220662447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101130345 + ... + 101131335.

It is an arithmetic number, because the mean of its divisors is an integer number (893692800).

Almost surely, 2^100220662440 is an apocalyptic number.

100220662440 is a gapful number since it is divisible by the number (10) 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 100220662440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171589017600).

100220662440 is an abundant number, since it is smaller than the sum of its proper divisors (242957372760).

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

100220662440 is a wasteful number, since it uses less digits than its factorization.

100220662440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 100220662440 its reverse (44266022001), we get a palindrome (144486684441).

The spelling of 100220662440 in words is "one hundred billion, two hundred twenty million, six hundred sixty-two thousand, four hundred forty".