441000745440 has 192 divisors, whose sum is σ = 1475115473664. Its totient is φ = 110362861568.

The previous prime is 441000745421. The next prime is 441000745441. The reversal of 441000745440 is 44547000144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441000745441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2753647 + ... + 2909393.

It is an arithmetic number, because the mean of its divisors is an integer number (7682893092).

Almost surely, 2^441000745440 is an apocalyptic number.

441000745440 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 441000745440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737557736832).

441000745440 is an abundant number, since it is smaller than the sum of its proper divisors (1034114728224).

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

441000745440 is a wasteful number, since it uses less digits than its factorization.

441000745440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156129 (or 156121 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 33.

Adding to 441000745440 its reverse (44547000144), we get a palindrome (485547745584).

The spelling of 441000745440 in words is "four hundred forty-one billion, seven hundred forty-five thousand, four hundred forty".