441445020534400 has 48 divisors (see below), whose sum is σ = 1090507152296790. Its totient is φ = 176578008212480.

The previous prime is 441445020534367. The next prime is 441445020534407. The reversal of 441445020534400 is 4435020544144.

It can be written as a sum of positive squares in 3 ways, for example, as 381195010414656 + 60250010119744 = 19524216^2 + 7762088^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (441445020534407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 68975781259 + ... + 68975787658.

Almost surely, 2^{441445020534400} is an apocalyptic number.

441445020534400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441445020534400 is an abundant number, since it is smaller than the sum of its proper divisors (649062131762390).

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

441445020534400 is a wasteful number, since it uses less digits than its factorization.

441445020534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137951568941 (or 137951568924 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 40.

The spelling of 441445020534400 in words is "four hundred forty-one trillion, four hundred forty-five billion, twenty million, five hundred thirty-four thousand, four hundred".