1050135004440 has 192 divisors, whose sum is σ = 3648786523200. Its totient is φ = 261004271616.

The previous prime is 1050135004417. The next prime is 1050135004441. The reversal of 1050135004440 is 444005310501.

It is a happy number.

1050135004440 is a `hidden beast` number, since 105 + 0 + 13 + 500 + 4 + 4 + 40 = 666.

It is a super-2 number, since 2×1050135004440² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1050135004441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202605 + ... + 1463324.

It is an arithmetic number, because the mean of its divisors is an integer number (19004096475).

Almost surely, 2^{1050135004440} is an apocalyptic number.

1050135004440 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 1050135004440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824393261600).

1050135004440 is an abundant number, since it is smaller than the sum of its proper divisors (2598651518760).

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

1050135004440 is a wasteful number, since it uses less digits than its factorization.

1050135004440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666066 (or 1666059 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 1050135004440 in words is "one trillion, fifty billion, one hundred thirty-five million, four thousand, four hundred forty".