1026030646080 has 896 divisors, whose sum is σ = 4029212160000. Its totient is φ = 243703848960.

The previous prime is 1026030646061. The next prime is 1026030646127. The reversal of 1026030646080 is 806460306201.

1026030646080 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 0 + 3 + 0 + 646 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1712905621 + ... + 1712906219.

Almost surely, 2^{1026030646080} is an apocalyptic number.

1026030646080 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 1026030646080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2014606080000).

1026030646080 is an abundant number, since it is smaller than the sum of its proper divisors (3003181513920).

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

1026030646080 is a wasteful number, since it uses less digits than its factorization.

1026030646080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 1026030646080 in words is "one trillion, twenty-six billion, thirty million, six hundred forty-six thousand, eighty".