4225146415224 has 128 divisors (see below), whose sum is σ = 12241968583680. Its totient is φ = 1190271744000.

The previous prime is 4225146415213. The next prime is 4225146415229.

4225146415224 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4225146415229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3572677 + ... + 4605899.

It is an arithmetic number, because the mean of its divisors is an integer number (95640379560).

Almost surely, 2^{4225146415224} 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 4225146415224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6120984291840).

4225146415224 is an abundant number, since it is smaller than the sum of its proper divisors (8016822168456).

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

4225146415224 is a wasteful number, since it uses less digits than its factorization.

4225146415224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033581 (or 1033577 counting only the distinct ones).

The product of its digits is 614400, while the sum is 42.

The spelling of 4225146415224 in words is "four trillion, two hundred twenty-five billion, one hundred forty-six million, four hundred fifteen thousand, two hundred twenty-four".