1135012864440 has 256 divisors, whose sum is σ = 4192401669120. Its totient is φ = 239384678400.

The previous prime is 1135012864429. The next prime is 1135012864451. The reversal of 1135012864440 is 444682105311.

It is an interprime number because it is at equal distance from previous prime (1135012864429) and next prime (1135012864451).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31114692 + ... + 31151148.

It is an arithmetic number, because the mean of its divisors is an integer number (16376569020).

Almost surely, 2^{1135012864440} is an apocalyptic number.

1135012864440 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 1135012864440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2096200834560).

1135012864440 is an abundant number, since it is smaller than the sum of its proper divisors (3057388804680).

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

1135012864440 is a wasteful number, since it uses less digits than its factorization.

1135012864440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39342 (or 39338 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

Adding to 1135012864440 its reverse (444682105311), we get a palindrome (1579694969751).

The spelling of 1135012864440 in words is "one trillion, one hundred thirty-five billion, twelve million, eight hundred sixty-four thousand, four hundred forty".