441279966400 has 504 divisors, whose sum is σ = 1392035956080. Its totient is φ = 136396431360.

The previous prime is 441279966373. The next prime is 441279966401. The reversal of 441279966400 is 4669972144.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (441279966401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43820566 + ... + 43830634.

Almost surely, 2^441279966400 is an apocalyptic number.

441279966400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441279966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696017978040).

441279966400 is an abundant number, since it is smaller than the sum of its proper divisors (950755989680).

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

441279966400 is a wasteful number, since it uses less digits than its factorization.

441279966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10161 (or 10139 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 52.

The spelling of 441279966400 in words is "four hundred forty-one billion, two hundred seventy-nine million, nine hundred sixty-six thousand, four hundred".