1127409840 has 200 divisors, whose sum is σ = 4122198960. Its totient is φ = 284788224.

The previous prime is 1127409839. The next prime is 1127409847. The reversal of 1127409840 is 489047211.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1127409795 and 1127409804.

It is not an unprimeable number, because it can be changed into a prime (1127409847) 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 39 ways as a sum of consecutive naturals, for example, 118542 + ... + 127698.

Almost surely, 2^1127409840 is an apocalyptic number.

1127409840 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 1127409840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2061099480).

1127409840 is an abundant number, since it is smaller than the sum of its proper divisors (2994789120).

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

1127409840 is a wasteful number, since it uses less digits than its factorization.

1127409840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9201 (or 9186 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1127409840 is about 33576.9242188739. The cubic root of 1127409840 is about 1040.7839995665.

The spelling of 1127409840 in words is "one billion, one hundred twenty-seven million, four hundred nine thousand, eight hundred forty".