441805372142680 has 512 divisors, whose sum is σ = 1278397057190400. Its totient is φ = 133804844974080.

The previous prime is 441805372142657. The next prime is 441805372142699. The reversal of 441805372142680 is 86241273508144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10031661460 + ... + 10031705500.

It is an arithmetic number, because the mean of its divisors is an integer number (2496869252325).

Almost surely, 2^{441805372142680} is an apocalyptic number.

441805372142680 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 441805372142680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639198528595200).

441805372142680 is an abundant number, since it is smaller than the sum of its proper divisors (836591685047720).

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

441805372142680 is a wasteful number, since it uses less digits than its factorization.

441805372142680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44272 (or 44210 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 55.

The spelling of 441805372142680 in words is "four hundred forty-one trillion, eight hundred five billion, three hundred seventy-two million, one hundred forty-two thousand, six hundred eighty".