441434123040 has 96 divisors (see below), whose sum is σ = 1472312661120. Its totient is φ = 110791307264.

The previous prime is 441434123033. The next prime is 441434123069. The reversal of 441434123040 is 40321434144.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 441434122989 and 441434123007.

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, 27040500 + ... + 27056819.

It is an arithmetic number, because the mean of its divisors is an integer number (15336590220).

Almost surely, 2^441434123040 is an apocalyptic number.

441434123040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441434123040 is an abundant number, since it is smaller than the sum of its proper divisors (1030878538080).

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

441434123040 is a wasteful number, since it uses less digits than its factorization.

441434123040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54097354 (or 54097346 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 441434123040 its reverse (40321434144), we get a palindrome (481755557184).

The spelling of 441434123040 in words is "four hundred forty-one billion, four hundred thirty-four million, one hundred twenty-three thousand, forty".