1026994399200 has 3456 divisors, whose sum is σ = 5175748730880. Its totient is φ = 192148070400.

The previous prime is 1026994399117. The next prime is 1026994399201. The reversal of 1026994399200 is 29934996201.

1026994399200 is a `hidden beast` number, since 1 + 0 + 269 + 94 + 3 + 99 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1026994399201) 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 575 ways as a sum of consecutive naturals, for example, 6541365522 + ... + 6541365678.

It is an arithmetic number, because the mean of its divisors is an integer number (1497612480).

Almost surely, 2^{1026994399200} is an apocalyptic number.

1026994399200 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 1026994399200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2587874365440).

1026994399200 is an abundant number, since it is smaller than the sum of its proper divisors (4148754331680).

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

1026994399200 is a wasteful number, since it uses less digits than its factorization.

1026994399200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The spelling of 1026994399200 in words is "one trillion, twenty-six billion, nine hundred ninety-four million, three hundred ninety-nine thousand, two hundred".