44141911914144 has 192 divisors, whose sum is σ = 126575349788160. Its totient is φ = 13358467968000.

The previous prime is 44141911914131. The next prime is 44141911914157.

44141911914144 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (44141911914131) and next prime (44141911914157).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 44141911914093 and 44141911914102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3351440679 + ... + 3351453849.

It is an arithmetic number, because the mean of its divisors is an integer number (659246613480).

Almost surely, 2^{44141911914144} is an apocalyptic number.

44141911914144 is a gapful number since it is divisible by the number (44) 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 44141911914144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63287674894080).

44141911914144 is an abundant number, since it is smaller than the sum of its proper divisors (82433437874016).

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

44141911914144 is a wasteful number, since it uses less digits than its factorization.

44141911914144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17195 (or 17187 counting only the distinct ones).

The product of its digits is 331776, while the sum is 48.

The spelling of 44141911914144 in words is "forty-four trillion, one hundred forty-one billion, nine hundred eleven million, nine hundred fourteen thousand, one hundred forty-four".