4428140825088 has 800 divisors, whose sum is σ = 14246254788480. Its totient is φ = 1369213009920.

The previous prime is 4428140825047. The next prime is 4428140825089. The reversal of 4428140825088 is 8805280418244.

It is a happy number.

4428140825088 is a `hidden beast` number, since 4 + 42 + 8 + 14 + 0 + 82 + 508 + 8 = 666.

It is a super-2 number, since 2×4428140825088² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4428140825089) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20986449303 + ... + 20986449513.

Almost surely, 2^{4428140825088} is an apocalyptic number.

4428140825088 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 4428140825088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7123127394240).

4428140825088 is an abundant number, since it is smaller than the sum of its proper divisors (9818113963392).

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

4428140825088 is an equidigital number, since it uses as much as digits as its factorization.

4428140825088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 5242880, while the sum is 54.

The spelling of 4428140825088 in words is "four trillion, four hundred twenty-eight billion, one hundred forty million, eight hundred twenty-five thousand, eighty-eight".