1127377440 has 720 divisors, whose sum is σ = 4942631232. Its totient is φ = 236888064.

The previous prime is 1127377429. The next prime is 1127377477. The reversal of 1127377440 is 447737211.

It is a tau number, because it is divible by the number of its divisors (720).

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 = 1127377395 and 1127377404.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 26218059 + ... + 26218101.

Almost surely, 2^1127377440 is an apocalyptic number.

1127377440 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 1127377440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2471315616).

1127377440 is an abundant number, since it is smaller than the sum of its proper divisors (3815253792).

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

1127377440 is a wasteful number, since it uses less digits than its factorization.

1127377440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 1127377440 is about 33576.4417411971. The cubic root of 1127377440 is about 1040.7740293015.

The spelling of 1127377440 in words is "one billion, one hundred twenty-seven million, three hundred seventy-seven thousand, four hundred forty".