4171440284544 has 768 divisors, whose sum is σ = 12880467694080. Its totient is φ = 1187923968000.

The previous prime is 4171440284533. The next prime is 4171440284563. The reversal of 4171440284544 is 4454820441714.

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 = 4171440284493 and 4171440284502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12602538459 + ... + 12602538789.

It is an arithmetic number, because the mean of its divisors is an integer number (16771442310).

Almost surely, 2^{4171440284544} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4171440284544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6440233847040).

4171440284544 is an abundant number, since it is smaller than the sum of its proper divisors (8709027409536).

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

4171440284544 is a wasteful number, since it uses less digits than its factorization.

4171440284544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 2293760, while the sum is 48.

The spelling of 4171440284544 in words is "four trillion, one hundred seventy-one billion, four hundred forty million, two hundred eighty-four thousand, five hundred forty-four".