441000315616 has 96 divisors (see below), whose sum is σ = 1016270696448. Its totient is φ = 184462287360.

The previous prime is 441000315601. The next prime is 441000315647. The reversal of 441000315616 is 616513000144.

It is a super-2 number, since 2×441000315616² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2170311 + ... + 2364793.

It is an arithmetic number, because the mean of its divisors is an integer number (10586153088).

Almost surely, 2^441000315616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441000315616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508135348224).

441000315616 is an abundant number, since it is smaller than the sum of its proper divisors (575270380832).

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

441000315616 is a wasteful number, since it uses less digits than its factorization.

441000315616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194744 (or 194736 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 441000315616 in words is "four hundred forty-one billion, three hundred fifteen thousand, six hundred sixteen".