1135401120 has 288 divisors, whose sum is σ = 4491631872. Its totient is φ = 255799296.

The previous prime is 1135401023. The next prime is 1135401121. The reversal of 1135401120 is 211045311.

1135401120 is a `hidden beast` number, since 1 + 1 + 3 + 540 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1135401093 and 1135401102.

It is not an unprimeable number, because it can be changed into a prime (1135401121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 735069 + ... + 736611.

It is an arithmetic number, because the mean of its divisors is an integer number (15595944).

Almost surely, 2^1135401120 is an apocalyptic number.

1135401120 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 1135401120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2245815936).

1135401120 is an abundant number, since it is smaller than the sum of its proper divisors (3356230752).

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

1135401120 is a wasteful number, since it uses less digits than its factorization.

1135401120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1135401120 is about 33695.7136739972. The cubic root of 1135401120 is about 1043.2372991074.

Adding to 1135401120 its reverse (211045311), we get a palindrome (1346446431).

The spelling of 1135401120 in words is "one billion, one hundred thirty-five million, four hundred one thousand, one hundred twenty".