44150313141200 has 720 divisors, whose sum is σ = 134002596499200. Its totient is φ = 13882486947840.

The previous prime is 44150313141191. The next prime is 44150313141211. The reversal of 44150313141200 is 214131305144.

It is a super-2 number, since 2×44150313141200² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6433088969 + ... + 6433095831.

It is an arithmetic number, because the mean of its divisors is an integer number (186114717360).

Almost surely, 2^{44150313141200} is an apocalyptic number.

44150313141200 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 44150313141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67001298249600).

44150313141200 is an abundant number, since it is smaller than the sum of its proper divisors (89852283358000).

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

44150313141200 is a wasteful number, since it uses less digits than its factorization.

44150313141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7404 (or 7386 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 44150313141200 its reverse (214131305144), we get a palindrome (44364444446344).

The spelling of 44150313141200 in words is "forty-four trillion, one hundred fifty billion, three hundred thirteen million, one hundred forty-one thousand, two hundred".