1030345407882 has 576 divisors, whose sum is σ = 2908298615040. Its totient is φ = 257167872000.

The previous prime is 1030345407881. The next prime is 1030345407907. The reversal of 1030345407882 is 2887045430301.

1030345407882 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 34 + 540 + 78 + 8 + 2 = 666.

It is a super-2 number, since 2×1030345407882² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1030345407881) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10201439632 + ... + 10201439732.

It is an arithmetic number, because the mean of its divisors is an integer number (5049129540).

Almost surely, 2^{1030345407882} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1030345407882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454149307520).

1030345407882 is an abundant number, since it is smaller than the sum of its proper divisors (1877953207158).

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

1030345407882 is a wasteful number, since it uses less digits than its factorization.

1030345407882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 1030345407882 in words is "one trillion, thirty billion, three hundred forty-five million, four hundred seven thousand, eight hundred eighty-two".