4128620544 has 360 divisors, whose sum is σ = 13310741808. Its totient is φ = 1274019840.

The previous prime is 4128620537. The next prime is 4128620633. The reversal of 4128620544 is 4450268214.

4128620544 is a `hidden beast` number, since 4 + 1 + 28 + 620 + 5 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4128620499 and 4128620508.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67682274 + ... + 67682334.

Almost surely, 2^4128620544 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 4128620544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6655370904).

4128620544 is an abundant number, since it is smaller than the sum of its proper divisors (9182121264).

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

4128620544 is an frugal number, since it uses more digits than its factorization.

4128620544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 4128620544 is about 64254.3426081070. The cubic root of 4128620544 is about 1604.2362406835.

Adding to 4128620544 its reverse (4450268214), we get a palindrome (8578888758).

The spelling of 4128620544 in words is "four billion, one hundred twenty-eight million, six hundred twenty thousand, five hundred forty-four".