440131221432 has 384 divisors, whose sum is σ = 1452615091200. Its totient is φ = 117598500864.

The previous prime is 440131221419. The next prime is 440131221469. The reversal of 440131221432 is 234122131044.

440131221432 is a `hidden beast` number, since 4 + 4 + 0 + 1 + 3 + 1 + 221 + 432 = 666.

It is a super-2 number, since 2×440131221432² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 440131221396 and 440131221405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 251072268 + ... + 251074020.

It is an arithmetic number, because the mean of its divisors is an integer number (3782851800).

Almost surely, 2^440131221432 is an apocalyptic number.

440131221432 is a gapful number since it is divisible by the number (42) 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 440131221432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726307545600).

440131221432 is an abundant number, since it is smaller than the sum of its proper divisors (1012483869768).

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

440131221432 is a wasteful number, since it uses less digits than its factorization.

440131221432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115 (or 2108 counting only the distinct ones).

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

Adding to 440131221432 its reverse (234122131044), we get a palindrome (674253352476).

The spelling of 440131221432 in words is "four hundred forty billion, one hundred thirty-one million, two hundred twenty-one thousand, four hundred thirty-two".