441099720000 has 420 divisors, whose sum is σ = 1587671232576. Its totient is φ = 117048960000.

The previous prime is 441099719971. The next prime is 441099720067. The reversal of 441099720000 is 27990144.

441099720000 is a `hidden beast` number, since 441 + 0 + 9 + 9 + 7 + 200 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 75957097 + ... + 75962903.

Almost surely, 2^441099720000 is an apocalyptic number.

441099720000 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 441099720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793835616288).

441099720000 is an abundant number, since it is smaller than the sum of its proper divisors (1146571512576).

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

441099720000 is a wasteful number, since it uses less digits than its factorization.

441099720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6056 (or 6028 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 441099720000 in words is "four hundred forty-one billion, ninety-nine million, seven hundred twenty thousand".