1029394919556 has 72 divisors (see below), whose sum is σ = 2651408434584. Its totient is φ = 336628131840.

The previous prime is 1029394919459. The next prime is 1029394919557. The reversal of 1029394919556 is 6559194939201.

1029394919556 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 3 + 9 + 491 + 95 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13766328900 + 1015628590656 = 117330^2 + 1007784^2 .

It is a super-2 number, since 2×1029394919556² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1029394919493 and 1029394919502.

It is not an unprimeable number, because it can be changed into a prime (1029394919557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38026266 + ... + 38053326.

It is an arithmetic number, because the mean of its divisors is an integer number (36825117147).

Almost surely, 2^{1029394919556} is an apocalyptic number.

It is an amenable number.

1029394919556 is an abundant number, since it is smaller than the sum of its proper divisors (1622013515028).

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

1029394919556 is a wasteful number, since it uses less digits than its factorization.

1029394919556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47061 (or 47056 counting only the distinct ones).

The product of its (nonzero) digits is 23619600, while the sum is 63.

The spelling of 1029394919556 in words is "one trillion, twenty-nine billion, three hundred ninety-four million, nine hundred nineteen thousand, five hundred fifty-six".