1002435203424 has 384 divisors, whose sum is σ = 2872682330112. Its totient is φ = 304924262400.

The previous prime is 1002435203423. The next prime is 1002435203449. The reversal of 1002435203424 is 4243025342001.

It is a super-2 number, since 2×1002435203424² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1002435203391 and 1002435203400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002435203423) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2731430889 + ... + 2731431255.

It is an arithmetic number, because the mean of its divisors is an integer number (7480943568).

Almost surely, 2^{1002435203424} 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 1002435203424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436341165056).

1002435203424 is an abundant number, since it is smaller than the sum of its proper divisors (1870247126688).

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

1002435203424 is a wasteful number, since it uses less digits than its factorization.

1002435203424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The spelling of 1002435203424 in words is "one trillion, two billion, four hundred thirty-five million, two hundred three thousand, four hundred twenty-four".