441783387144 has 64 divisors (see below), whose sum is σ = 1338737544000. Its totient is φ = 133873752960.

The previous prime is 441783387107. The next prime is 441783387151.

It is a happy number.

441783387144 is a `hidden beast` number, since 4 + 41 + 7 + 83 + 387 + 144 = 666.

441783387144 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×441783387144² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92965509 + ... + 92970260.

It is an arithmetic number, because the mean of its divisors is an integer number (20917774125).

Almost surely, 2^441783387144 is an apocalyptic number.

441783387144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

441783387144 is an abundant number, since it is smaller than the sum of its proper divisors (896954156856).

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

441783387144 is a wasteful number, since it uses less digits than its factorization.

441783387144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185935795 (or 185935785 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The spelling of 441783387144 in words is "four hundred forty-one billion, seven hundred eighty-three million, three hundred eighty-seven thousand, one hundred forty-four".