1002311350040 has 256 divisors, whose sum is σ = 3098384593920. Its totient is φ = 281670359040.

The previous prime is 1002311349971. The next prime is 1002311350093. The reversal of 1002311350040 is 400531132001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1002311349994 and 1002311350021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1430642 + ... + 2012798.

It is an arithmetic number, because the mean of its divisors is an integer number (12103064820).

Almost surely, 2^{1002311350040} is an apocalyptic number.

1002311350040 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 1002311350040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549192296960).

1002311350040 is an abundant number, since it is smaller than the sum of its proper divisors (2096073243880).

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

1002311350040 is a wasteful number, since it uses less digits than its factorization.

1002311350040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582242 (or 582238 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 1002311350040 its reverse (400531132001), we get a palindrome (1402842482041).

The spelling of 1002311350040 in words is "one trillion, two billion, three hundred eleven million, three hundred fifty thousand, forty".