441414545000 has 160 divisors (see below), whose sum is σ = 1215046435680. Its totient is φ = 148166880000.

The previous prime is 441414544999. The next prime is 441414545053. The reversal of 441414545000 is 545414144.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 406319 + ... + 1023681.

It is an arithmetic number, because the mean of its divisors is an integer number (7594040223).

Almost surely, 2^441414545000 is an apocalyptic number.

441414545000 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 441414545000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607523217840).

441414545000 is an abundant number, since it is smaller than the sum of its proper divisors (773631890680).

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

441414545000 is a wasteful number, since it uses less digits than its factorization.

441414545000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617413 (or 617394 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 32.

Adding to 441414545000 its reverse (545414144), we get a palindrome (441959959144).

The spelling of 441414545000 in words is "four hundred forty-one billion, four hundred fourteen million, five hundred forty-five thousand".