1002806771472 has 400 divisors, whose sum is σ = 3377103440832. Its totient is φ = 283908464640.

The previous prime is 1002806771437. The next prime is 1002806771507. The reversal of 1002806771472 is 2741776082001.

1002806771472 is a `hidden beast` number, since 100 + 2 + 8 + 0 + 6 + 7 + 71 + 472 = 666.

It is an interprime number because it is at equal distance from previous prime (1002806771437) and next prime (1002806771507).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33187123 + ... + 33217325.

Almost surely, 2^{1002806771472} is an apocalyptic number.

1002806771472 is a gapful number since it is divisible by the number (12) 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 1002806771472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688551720416).

1002806771472 is an abundant number, since it is smaller than the sum of its proper divisors (2374296669360).

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

1002806771472 is a wasteful number, since it uses less digits than its factorization.

1002806771472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30388 (or 30373 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 1002806771472 in words is "one trillion, two billion, eight hundred six million, seven hundred seventy-one thousand, four hundred seventy-two".