441155440 has 160 divisors (see below), whose sum is σ = 1218297024. Its totient is φ = 146718720.

The previous prime is 441155437. The next prime is 441155461. The reversal of 441155440 is 44551144.

It is a junction number, because it is equal to n+sod(n) for n = 441155399 and 441155408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 553122 + ... + 553918.

Almost surely, 2^441155440 is an apocalyptic number.

441155440 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 441155440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609148512).

441155440 is an abundant number, since it is smaller than the sum of its proper divisors (777141584).

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

441155440 is a wasteful number, since it uses less digits than its factorization.

441155440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The square root of 441155440 is about 21003.7006263182. The cubic root of 441155440 is about 761.2556804409.

The spelling of 441155440 in words is "four hundred forty-one million, one hundred fifty-five thousand, four hundred forty".