444141240350000 has 120 divisors (see below), whose sum is σ = 1081158731100000. Its totient is φ = 176735992320000.

The previous prime is 444141240349999. The next prime is 444141240350021. The reversal of 444141240350000 is 53042141444.

It is a super-2 number, since 2×444141240350000² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13362500 + ... + 32662499.

It is an arithmetic number, because the mean of its divisors is an integer number (9009656092500).

Almost surely, 2^{444141240350000} is an apocalyptic number.

444141240350000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444141240350000 is an abundant number, since it is smaller than the sum of its proper divisors (637017490750000).

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

444141240350000 is an equidigital number, since it uses as much as digits as its factorization.

444141240350000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46025225 (or 46025199 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

Adding to 444141240350000 its reverse (53042141444), we get a palindrome (444194282491444).

The spelling of 444141240350000 in words is "four hundred forty-four trillion, one hundred forty-one billion, two hundred forty million, three hundred fifty thousand".