441150401124000 has 288 divisors, whose sum is σ = 1573839880704000. Its totient is φ = 117024188352000.

The previous prime is 441150401123947. The next prime is 441150401124007. The reversal of 441150401124000 is 421104051144.

It is a happy number.

441150401124000 is a `hidden beast` number, since 4 + 4 + 1 + 1 + 504 + 0 + 112 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×441150401124000² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (441150401124007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25203000 + ... + 38954999.

It is an arithmetic number, because the mean of its divisors is an integer number (5464721808000).

Almost surely, 2^{441150401124000} is an apocalyptic number.

441150401124000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441150401124000 is an abundant number, since it is smaller than the sum of its proper divisors (1132689479580000).

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

441150401124000 is a wasteful number, since it uses less digits than its factorization.

441150401124000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64158221 (or 64158200 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 441150401124000 its reverse (421104051144), we get a palindrome (441571505175144).

The spelling of 441150401124000 in words is "four hundred forty-one trillion, one hundred fifty billion, four hundred one million, one hundred twenty-four thousand".