1026987726240 has 576 divisors, whose sum is σ = 4259536968960. Its totient is φ = 219958640640.

The previous prime is 1026987726239. The next prime is 1026987726251. The reversal of 1026987726240 is 426277896201.

1026987726240 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 9 + 8 + 7 + 7 + 2 + 624 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39228355 + ... + 39254525.

It is an arithmetic number, because the mean of its divisors is an integer number (7395029460).

Almost surely, 2^{1026987726240} is an apocalyptic number.

1026987726240 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 1026987726240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2129768484480).

1026987726240 is an abundant number, since it is smaller than the sum of its proper divisors (3232549242720).

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

1026987726240 is a wasteful number, since it uses less digits than its factorization.

1026987726240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26445 (or 26434 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 1026987726240 in words is "one trillion, twenty-six billion, nine hundred eighty-seven million, seven hundred twenty-six thousand, two hundred forty".