1000024748424 has 384 divisors, whose sum is σ = 3219202022400. Its totient is φ = 277485626880.

The previous prime is 1000024748323. The next prime is 1000024748441. The reversal of 1000024748424 is 4248474200001.

1000024748424 is a `hidden beast` number, since 100 + 0 + 0 + 2 + 474 + 84 + 2 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86299959 + ... + 86311545.

It is an arithmetic number, because the mean of its divisors is an integer number (8383338600).

Almost surely, 2^{1000024748424} 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 1000024748424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609601011200).

1000024748424 is an abundant number, since it is smaller than the sum of its proper divisors (2219177273976).

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

1000024748424 is a wasteful number, since it uses less digits than its factorization.

1000024748424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11865 (or 11858 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

Adding to 1000024748424 its reverse (4248474200001), we get a palindrome (5248498948425).

The spelling of 1000024748424 in words is "one trillion, twenty-four million, seven hundred forty-eight thousand, four hundred twenty-four".