1026013662340 has 96 divisors (see below), whose sum is σ = 2250480153600. Its totient is φ = 392435420160.

The previous prime is 1026013662301. The next prime is 1026013662383. The reversal of 1026013662340 is 432663106201.

It is a junction number, because it is equal to n+sod(n) for n = 1026013662296 and 1026013662305.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 34232281 + ... + 34262239.

It is an arithmetic number, because the mean of its divisors is an integer number (23442501600).

Almost surely, 2^{1026013662340} is an apocalyptic number.

1026013662340 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 1026013662340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125240076800).

1026013662340 is an abundant number, since it is smaller than the sum of its proper divisors (1224466491260).

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

1026013662340 is a wasteful number, since it uses less digits than its factorization.

1026013662340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30565 (or 30563 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

Adding to 1026013662340 its reverse (432663106201), we get a palindrome (1458676768541).

The spelling of 1026013662340 in words is "one trillion, twenty-six billion, thirteen million, six hundred sixty-two thousand, three hundred forty".