1127335440 has 320 divisors, whose sum is σ = 4443144192. Its totient is φ = 229632000.

The previous prime is 1127335411. The next prime is 1127335441. The reversal of 1127335440 is 445337211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1127335398 and 1127335407.

It is not an unprimeable number, because it can be changed into a prime (1127335441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 978865 + ... + 980015.

Almost surely, 2^1127335440 is an apocalyptic number.

1127335440 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 1127335440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2221572096).

1127335440 is an abundant number, since it is smaller than the sum of its proper divisors (3315808752).

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

1127335440 is a wasteful number, since it uses less digits than its factorization.

1127335440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 1127335440 is about 33575.8162968527. The cubic root of 1127335440 is about 1040.7611045996.

The spelling of 1127335440 in words is "one billion, one hundred twenty-seven million, three hundred thirty-five thousand, four hundred forty".