441731990400 has 384 divisors, whose sum is σ = 1507670690400. Its totient is φ = 113541120000.

The previous prime is 441731990377. The next prime is 441731990431. The reversal of 441731990400 is 4099137144.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 245269500 + ... + 245271300.

Almost surely, 2^441731990400 is an apocalyptic number.

441731990400 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 441731990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753835345200).

441731990400 is an abundant number, since it is smaller than the sum of its proper divisors (1065938700000).

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

441731990400 is a wasteful number, since it uses less digits than its factorization.

441731990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2738 (or 2721 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 441731990400 in words is "four hundred forty-one billion, seven hundred thirty-one million, nine hundred ninety thousand, four hundred".