441343478400 has 576 divisors, whose sum is σ = 1639010052000. Its totient is φ = 103517184000.

The previous prime is 441343478371. The next prime is 441343478417. The reversal of 441343478400 is 4874343144.

It is a super-2 number, since 2×441343478400² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 101479426 + ... + 101483774.

Almost surely, 2^441343478400 is an apocalyptic number.

441343478400 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 441343478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819505026000).

441343478400 is an abundant number, since it is smaller than the sum of its proper divisors (1197666573600).

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

441343478400 is a wasteful number, since it uses less digits than its factorization.

441343478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4449 (or 4401 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 42.

The spelling of 441343478400 in words is "four hundred forty-one billion, three hundred forty-three million, four hundred seventy-eight thousand, four hundred".