4124409828552 has 256 divisors, whose sum is σ = 13382375731200. Its totient is φ = 1165266984960.

The previous prime is 4124409828463. The next prime is 4124409828607. The reversal of 4124409828552 is 2558289044214.

It is a happy number.

4124409828552 is a `hidden beast` number, since 4 + 1 + 2 + 4 + 4 + 0 + 9 + 82 + 8 + 552 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 903513 + ... + 3010839.

It is an arithmetic number, because the mean of its divisors is an integer number (52274905200).

Almost surely, 2^{4124409828552} 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 4124409828552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6691187865600).

4124409828552 is an abundant number, since it is smaller than the sum of its proper divisors (9257965902648).

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

4124409828552 is a wasteful number, since it uses less digits than its factorization.

4124409828552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2107413 (or 2107403 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 4124409828552 in words is "four trillion, one hundred twenty-four billion, four hundred nine million, eight hundred twenty-eight thousand, five hundred fifty-two".