1026264205400 has 192 divisors, whose sum is σ = 2780801422080. Its totient is φ = 344960985600.

The previous prime is 1026264205399. The next prime is 1026264205409. The reversal of 1026264205400 is 45024626201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1026264205409) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 19765874 + ... + 19817726.

It is an arithmetic number, because the mean of its divisors is an integer number (14483340740).

Almost surely, 2^{1026264205400} is an apocalyptic number.

1026264205400 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 1026264205400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390400711040).

1026264205400 is an abundant number, since it is smaller than the sum of its proper divisors (1754537216680).

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

1026264205400 is a wasteful number, since it uses less digits than its factorization.

1026264205400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52154 (or 52145 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The spelling of 1026264205400 in words is "one trillion, twenty-six billion, two hundred sixty-four million, two hundred five thousand, four hundred".