1090740028224 has 672 divisors, whose sum is σ = 3910744544256. Its totient is φ = 264664350720.

The previous prime is 1090740028129. The next prime is 1090740028229. The reversal of 1090740028224 is 4228200470901.

It is a happy number.

It is a Cunningham number, because it is equal to 1044385²-1.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1090740028229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102344304 + ... + 102354960.

Almost surely, 2^{1090740028224} is an apocalyptic number.

1090740028224 is a gapful number since it is divisible by the number (14) 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 1090740028224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1955372272128).

1090740028224 is an abundant number, since it is smaller than the sum of its proper divisors (2820004516032).

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

1090740028224 is a wasteful number, since it uses less digits than its factorization.

1090740028224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10763 (or 10746 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 1090740028224 in words is "one trillion, ninety billion, seven hundred forty million, twenty-eight thousand, two hundred twenty-four".