1027961131008 has 624 divisors, whose sum is σ = 3493360586880. Its totient is φ = 266817503232.

The previous prime is 1027961130983. The next prime is 1027961131009. The reversal of 1027961131008 is 8001311697201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1027961131009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 296839485 + ... + 296842947.

Almost surely, 2^{1027961131008} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1027961131008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1746680293440).

1027961131008 is an abundant number, since it is smaller than the sum of its proper divisors (2465399455872).

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

1027961131008 is a wasteful number, since it uses less digits than its factorization.

1027961131008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3550 (or 3521 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 39.

The spelling of 1027961131008 in words is "one trillion, twenty-seven billion, nine hundred sixty-one million, one hundred thirty-one thousand, eight".