1002202401024 has 216 divisors, whose sum is σ = 3174976677600. Its totient is φ = 301511761920.

The previous prime is 1002202401019. The next prime is 1002202401059. The reversal of 1002202401024 is 4201042022001.

1002202401024 is a `hidden beast` number, since 100 + 220 + 240 + 102 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1002202400988 and 1002202401006.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3380572 + ... + 3665060.

It is an arithmetic number, because the mean of its divisors is an integer number (14698966100).

Almost surely, 2^{1002202401024} 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 1002202401024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587488338800).

1002202401024 is an abundant number, since it is smaller than the sum of its proper divisors (2172774276576).

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

1002202401024 is a wasteful number, since it uses less digits than its factorization.

1002202401024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284661 (or 284644 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 1002202401024 its reverse (4201042022001), we get a palindrome (5203244423025).

The spelling of 1002202401024 in words is "one trillion, two billion, two hundred two million, four hundred one thousand, twenty-four".