1002052007424 has 960 divisors, whose sum is σ = 3411321661440. Its totient is φ = 288379699200.

The previous prime is 1002052007417. The next prime is 1002052007431. The reversal of 1002052007424 is 4247002502001.

1002052007424 is a `hidden beast` number, since 10 + 0 + 20 + 5 + 200 + 7 + 424 = 666.

It is an interprime number because it is at equal distance from previous prime (1002052007417) and next prime (1002052007431).

It is a super-2 number, since 2×1002052007424² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9364971979 + ... + 9364972085.

It is an arithmetic number, because the mean of its divisors is an integer number (3553460064).

Almost surely, 2^{1002052007424} 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 1002052007424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1705660830720).

1002052007424 is an abundant number, since it is smaller than the sum of its proper divisors (2409269654016).

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

1002052007424 is a wasteful number, since it uses less digits than its factorization.

1002052007424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

Adding to 1002052007424 its reverse (4247002502001), we get a palindrome (5249054509425).

The spelling of 1002052007424 in words is "one trillion, two billion, fifty-two million, seven thousand, four hundred twenty-four".