1002094932256 has 384 divisors, whose sum is σ = 2363219712000. Its totient is φ = 413736960000.

The previous prime is 1002094932239. The next prime is 1002094932259. The reversal of 1002094932256 is 6522394902001.

It is not an unprimeable number, because it can be changed into a prime (1002094932259) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2498989656 + ... + 2498990056.

It is an arithmetic number, because the mean of its divisors is an integer number (6154218000).

Almost surely, 2^{1002094932256} is an apocalyptic number.

1002094932256 is a gapful number since it is divisible by the number (16) 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 1002094932256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181609856000).

1002094932256 is an abundant number, since it is smaller than the sum of its proper divisors (1361124779744).

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

1002094932256 is a wasteful number, since it uses less digits than its factorization.

1002094932256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 43.

The spelling of 1002094932256 in words is "one trillion, two billion, ninety-four million, nine hundred thirty-two thousand, two hundred fifty-six".