1026117400000 has 672 divisors, whose sum is σ = 3312202005504. Its totient is φ = 305817600000.

The previous prime is 1026117399961. The next prime is 1026117400051. The reversal of 1026117400000 is 47116201.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 354198552 + ... + 354201448.

It is an arithmetic number, because the mean of its divisors is an integer number (4928872032).

Almost surely, 2^{1026117400000} is an apocalyptic number.

1026117400000 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 1026117400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656101002752).

1026117400000 is an abundant number, since it is smaller than the sum of its proper divisors (2286084605504).

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

1026117400000 is an equidigital number, since it uses as much as digits as its factorization.

1026117400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2975 (or 2945 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The spelling of 1026117400000 in words is "one trillion, twenty-six billion, one hundred seventeen million, four hundred thousand".