44119221445152 has 288 divisors, whose sum is σ = 143577331881984. Its totient is φ = 12588812121600.

The previous prime is 44119221445129. The next prime is 44119221445171. The reversal of 44119221445152 is 25154412291144.

44119221445152 is a `hidden beast` number, since 4 + 4 + 1 + 1 + 92 + 2 + 1 + 44 + 515 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 44119221445098 and 44119221445107.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8571829843 + ... + 8571834989.

It is an arithmetic number, because the mean of its divisors is an integer number (498532402368).

Almost surely, 2^{44119221445152} is an apocalyptic number.

44119221445152 is a gapful number since it is divisible by the number (42) 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 44119221445152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71788665940992).

44119221445152 is an abundant number, since it is smaller than the sum of its proper divisors (99458110436832).

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

44119221445152 is a wasteful number, since it uses less digits than its factorization.

44119221445152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9972 (or 9961 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The spelling of 44119221445152 in words is "forty-four trillion, one hundred nineteen billion, two hundred twenty-one million, four hundred forty-five thousand, one hundred fifty-two".