1029224416000 has 144 divisors (see below), whose sum is σ = 2797011872928. Its totient is φ = 374263296000.

The previous prime is 1029224415997. The next prime is 1029224416039. The reversal of 1029224416000 is 6144229201.

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 15 ways as a sum of consecutive naturals, for example, 1109967 + ... + 1813966.

It is an arithmetic number, because the mean of its divisors is an integer number (19423693562).

Almost surely, 2^{1029224416000} is an apocalyptic number.

1029224416000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1029224416000 is an abundant number, since it is smaller than the sum of its proper divisors (1767787456928).

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

1029224416000 is an equidigital number, since it uses as much as digits as its factorization.

1029224416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2923975 (or 2923951 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 1029224416000 in words is "one trillion, twenty-nine billion, two hundred twenty-four million, four hundred sixteen thousand".