1027934466720 has 384 divisors, whose sum is σ = 3775612538880. Its totient is φ = 230217646080.

The previous prime is 1027934466701. The next prime is 1027934466739. The reversal of 1027934466720 is 276644397201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1027934466701) and next prime (1027934466739).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61644304 + ... + 61660976.

It is an arithmetic number, because the mean of its divisors is an integer number (9832324320).

Almost surely, 2^{1027934466720} is an apocalyptic number.

1027934466720 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 1027934466720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887806269440).

1027934466720 is an abundant number, since it is smaller than the sum of its proper divisors (2747678072160).

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

1027934466720 is a wasteful number, since it uses less digits than its factorization.

1027934466720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17068 (or 17060 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 51.

The spelling of 1027934466720 in words is "one trillion, twenty-seven billion, nine hundred thirty-four million, four hundred sixty-six thousand, seven hundred twenty".