1090202137344 has 216 divisors, whose sum is σ = 3341882849760. Its totient is φ = 341041299456.

The previous prime is 1090202137331. The next prime is 1090202137363. The reversal of 1090202137344 is 4437312020901.

It is a happy number.

1090202137344 is a `hidden beast` number, since 10 + 90 + 2 + 0 + 213 + 7 + 344 = 666.

1090202137344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1090202137299 and 1090202137308.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2614492 + ... + 3002660.

It is an arithmetic number, because the mean of its divisors is an integer number (15471679860).

Almost surely, 2^{1090202137344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1090202137344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670941424880).

1090202137344 is an abundant number, since it is smaller than the sum of its proper divisors (2251680712416).

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

1090202137344 is a wasteful number, since it uses less digits than its factorization.

1090202137344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388267 (or 388250 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 1090202137344 in words is "one trillion, ninety billion, two hundred two million, one hundred thirty-seven thousand, three hundred forty-four".