1135555040 has 48 divisors (see below), whose sum is σ = 2692751040. Its totient is φ = 452528640.

The previous prime is 1135555039. The next prime is 1135555067. The reversal of 1135555040 is 405555311.

1135555040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1135554994 and 1135555012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30266 + ... + 56454.

It is an arithmetic number, because the mean of its divisors is an integer number (56098980).

Almost surely, 2^1135555040 is an apocalyptic number.

1135555040 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 1135555040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346375520).

1135555040 is an abundant number, since it is smaller than the sum of its proper divisors (1557196000).

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

1135555040 is a wasteful number, since it uses less digits than its factorization.

1135555040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26475 (or 26467 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 29.

The square root of 1135555040 is about 33697.9975666211. The cubic root of 1135555040 is about 1043.2844389321.

The spelling of 1135555040 in words is "one billion, one hundred thirty-five million, five hundred fifty-five thousand, forty".