441340543130400 has 216 divisors, whose sum is σ = 1577595956341860. Its totient is φ = 116078608465920.

The previous prime is 441340543130393. The next prime is 441340543130411. The reversal of 441340543130400 is 4031345043144.

441340543130400 is a `hidden beast` number, since 4 + 4 + 1 + 3 + 40 + 543 + 1 + 30 + 40 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 334840372238736 + 106500170891664 = 18298644^2 + 10319892^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 419318905 + ... + 420370104.

Almost surely, 2^{441340543130400} is an apocalyptic number.

441340543130400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441340543130400 is an abundant number, since it is smaller than the sum of its proper divisors (1136255413211460).

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

441340543130400 is a wasteful number, since it uses less digits than its factorization.

441340543130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839689108 (or 839689092 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 441340543130400 its reverse (4031345043144), we get a palindrome (445371888173544).

The spelling of 441340543130400 in words is "four hundred forty-one trillion, three hundred forty billion, five hundred forty-three million, one hundred thirty thousand, four hundred".