1090828334400 has 1344 divisors, whose sum is σ = 4470113894400. Its totient is φ = 227342868480.

The previous prime is 1090828334389. The next prime is 1090828334429. The reversal of 1090828334400 is 44338280901.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2168644549 + ... + 2168645051.

It is an arithmetic number, because the mean of its divisors is an integer number (3325977600).

Almost surely, 2^{1090828334400} is an apocalyptic number.

1090828334400 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 1090828334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2235056947200).

1090828334400 is an abundant number, since it is smaller than the sum of its proper divisors (3379285560000).

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

1090828334400 is a wasteful number, since it uses less digits than its factorization.

1090828334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 1090828334400 in words is "one trillion, ninety billion, eight hundred twenty-eight million, three hundred thirty-four thousand, four hundred".