441159951144 has 32 divisors (see below), whose sum is σ = 1203163503840. Its totient is φ = 133684833600.

The previous prime is 441159951083. The next prime is 441159951163.

It is a happy number.

441159951144 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 441159951093 and 441159951102.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 835529947 + ... + 835530474.

It is an arithmetic number, because the mean of its divisors is an integer number (37598859495).

Almost surely, 2^441159951144 is an apocalyptic number.

441159951144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

441159951144 is an abundant number, since it is smaller than the sum of its proper divisors (762003552696).

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

441159951144 is a wasteful number, since it uses less digits than its factorization.

441159951144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1671060441 (or 1671060437 counting only the distinct ones).

The product of its digits is 518400, while the sum is 48.

The spelling of 441159951144 in words is "four hundred forty-one billion, one hundred fifty-nine million, nine hundred fifty-one thousand, one hundred forty-four".