4145224472928 has 576 divisors, whose sum is σ = 14948623872000. Its totient is φ = 1058297011200.

The previous prime is 4145224472927. The next prime is 4145224472947. The reversal of 4145224472928 is 8292744225414.

4145224472928 is a `hidden beast` number, since 4 + 1 + 4 + 522 + 44 + 72 + 9 + 2 + 8 = 666.

It is a super-2 number, since 2×4145224472928² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4145224472927) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 741407413 + ... + 741413003.

It is an arithmetic number, because the mean of its divisors is an integer number (25952472000).

Almost surely, 2^{4145224472928} is an apocalyptic number.

4145224472928 is a gapful number since it is divisible by the number (48) 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 4145224472928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7474311936000).

4145224472928 is an abundant number, since it is smaller than the sum of its proper divisors (10803399399072).

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

4145224472928 is a wasteful number, since it uses less digits than its factorization.

4145224472928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6191 (or 6180 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 54.

The spelling of 4145224472928 in words is "four trillion, one hundred forty-five billion, two hundred twenty-four million, four hundred seventy-two thousand, nine hundred twenty-eight".