1026195456000 has 1216 divisors, whose sum is σ = 4067192054016. Its totient is φ = 226492416000.

The previous prime is 1026195455993. The next prime is 1026195456023. The reversal of 1026195456000 is 6545916201.

It is a super-2 number, since 2×1026195456000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1026195456000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14057471964 + ... + 14057472036.

Almost surely, 2^{1026195456000} is an apocalyptic number.

1026195456000 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 1026195456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2033596027008).

1026195456000 is an abundant number, since it is smaller than the sum of its proper divisors (3040996598016).

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

1026195456000 is an frugal number, since it uses more digits than its factorization.

1026195456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The spelling of 1026195456000 in words is "one trillion, twenty-six billion, one hundred ninety-five million, four hundred fifty-six thousand".