440641170646520 has 128 divisors (see below), whose sum is σ = 1095862496077440. Its totient is φ = 158609577984000.

The previous prime is 440641170646511. The next prime is 440641170646531. The reversal of 440641170646520 is 25646071146044.

It is a super-2 number, since 2×440641170646520² (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 31 ways as a sum of consecutive naturals, for example, 31539770 + ... + 43313270.

It is an arithmetic number, because the mean of its divisors is an integer number (8561425750605).

Almost surely, 2^{440641170646520} is an apocalyptic number.

440641170646520 is a gapful number since it is divisible by the number (40) 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 440641170646520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547931248038720).

440641170646520 is an abundant number, since it is smaller than the sum of its proper divisors (655221325430920).

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

440641170646520 is a wasteful number, since it uses less digits than its factorization.

440641170646520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11775945 (or 11775941 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 50.

The spelling of 440641170646520 in words is "four hundred forty trillion, six hundred forty-one billion, one hundred seventy million, six hundred forty-six thousand, five hundred twenty".