440100116322620 has 384 divisors, whose sum is σ = 1062228461414400. Its totient is φ = 151828646400000.

The previous prime is 440100116322499. The next prime is 440100116322631. The reversal of 440100116322620 is 26223611001044.

It is a super-2 number, since 2×440100116322620² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 55701820670 + ... + 55701828570.

It is an arithmetic number, because the mean of its divisors is an integer number (2766219951600).

Almost surely, 2^{440100116322620} 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 440100116322620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531114230707200).

440100116322620 is an abundant number, since it is smaller than the sum of its proper divisors (622128345091780).

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

440100116322620 is a wasteful number, since it uses less digits than its factorization.

440100116322620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8629 (or 8627 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 440100116322620 its reverse (26223611001044), we get a palindrome (466323727323664).

The spelling of 440100116322620 in words is "four hundred forty trillion, one hundred billion, one hundred sixteen million, three hundred twenty-two thousand, six hundred twenty".