1040192828800 has 192 divisors, whose sum is σ = 2634193900800. Its totient is φ = 405633024000.

The previous prime is 1040192828783. The next prime is 1040192828813. The reversal of 1040192828800 is 88282910401.

It is a super-2 number, since 2×1040192828800² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 293755030 + ... + 293758570.

It is an arithmetic number, because the mean of its divisors is an integer number (13719759900).

Almost surely, 2^{1040192828800} is an apocalyptic number.

1040192828800 is a gapful number since it is divisible by the number (10) 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 1040192828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317096950400).

1040192828800 is an abundant number, since it is smaller than the sum of its proper divisors (1594001072000).

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

1040192828800 is a wasteful number, since it uses less digits than its factorization.

1040192828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5845 (or 5828 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 43.

The spelling of 1040192828800 in words is "one trillion, forty billion, one hundred ninety-two million, eight hundred twenty-eight thousand, eight hundred".