441591406663680 has 1920 divisors, whose sum is σ = 1955187372378240. Its totient is φ = 92830181621760.

The previous prime is 441591406663633. The next prime is 441591406663703. The reversal of 441591406663680 is 86366604195144.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×441591406663680² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 20907683520 + ... + 20907704640.

It is an arithmetic number, because the mean of its divisors is an integer number (1018326756447).

Almost surely, 2^{441591406663680} is an apocalyptic number.

441591406663680 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 441591406663680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977593686189120).

441591406663680 is an abundant number, since it is smaller than the sum of its proper divisors (1513595965714560).

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

441591406663680 is a wasteful number, since it uses less digits than its factorization.

441591406663680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21457 (or 21428 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 441591406663680 in words is "four hundred forty-one trillion, five hundred ninety-one billion, four hundred six million, six hundred sixty-three thousand, six hundred eighty".