4526127282144 has 576 divisors, whose sum is σ = 13825843214400. Its totient is φ = 1288233123840.

The previous prime is 4526127282139. The next prime is 4526127282167. The reversal of 4526127282144 is 4412827216254.

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 = 4526127282093 and 4526127282102.

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, 4314706132 + ... + 4314707180.

It is an arithmetic number, because the mean of its divisors is an integer number (24003200025).

Almost surely, 2^{4526127282144} 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 4526127282144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6912921607200).

4526127282144 is an abundant number, since it is smaller than the sum of its proper divisors (9299715932256).

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

4526127282144 is a wasteful number, since it uses less digits than its factorization.

4526127282144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1304 counting only the distinct ones).

The product of its digits is 1720320, while the sum is 48.

The spelling of 4526127282144 in words is "four trillion, five hundred twenty-six billion, one hundred twenty-seven million, two hundred eighty-two thousand, one hundred forty-four".