102003002441340 has 768 divisors, whose sum is σ = 414566900858880. Its totient is φ = 18034313195520.

The previous prime is 102003002441317. The next prime is 102003002441399. The reversal of 102003002441340 is 43144200300201.

It is a super-2 number, since 2×102003002441340² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102003002441340.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 41014249 + ... + 43430111.

It is an arithmetic number, because the mean of its divisors is an integer number (539800652160).

Almost surely, 2^{102003002441340} is an apocalyptic number.

102003002441340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102003002441340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207283450429440).

102003002441340 is an abundant number, since it is smaller than the sum of its proper divisors (312563898417540).

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

102003002441340 is a wasteful number, since it uses less digits than its factorization.

102003002441340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2415962 (or 2415960 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 102003002441340 its reverse (43144200300201), we get a palindrome (145147202741541).

The spelling of 102003002441340 in words is "one hundred two trillion, three billion, two million, four hundred forty-one thousand, three hundred forty".