1027440000 has 240 divisors, whose sum is σ = 3697113420. Its totient is φ = 273792000.

The previous prime is 1027439993. The next prime is 1027440017. The reversal of 1027440000 is 447201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 719287 + ... + 720713.

Almost surely, 2^1027440000 is an apocalyptic number.

1027440000 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 1027440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1848556710).

1027440000 is an abundant number, since it is smaller than the sum of its proper divisors (2669673420).

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

1027440000 is an equidigital number, since it uses as much as digits as its factorization.

1027440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 1027440000 is about 32053.7049340634. The cubic root of 1027440000 is about 1009.0642576577.

Adding to 1027440000 its reverse (447201), we get a palindrome (1027887201).

The spelling of 1027440000 in words is "one billion, twenty-seven million, four hundred forty thousand".