1005417429000 has 128 divisors (see below), whose sum is σ = 3174697169280. Its totient is φ = 264880992000.

The previous prime is 1005417428987. The next prime is 1005417429013. The reversal of 1005417429000 is 9247145001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1005417428987) and next prime (1005417429013).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1769911 + ... + 2267910.

It is an arithmetic number, because the mean of its divisors is an integer number (24802321635).

Almost surely, 2^{1005417429000} is an apocalyptic number.

1005417429000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005417429000 is an abundant number, since it is smaller than the sum of its proper divisors (2169279740280).

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

1005417429000 is a wasteful number, since it uses less digits than its factorization.

1005417429000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4037928 (or 4037914 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 1005417429000 in words is "one trillion, five billion, four hundred seventeen million, four hundred twenty-nine thousand".