1027021440 has 256 divisors, whose sum is σ = 3525120000. Its totient is φ = 253513728.

The previous prime is 1027021397. The next prime is 1027021447. The reversal of 1027021440 is 441207201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1027021447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1714261 + ... + 1714859.

It is an arithmetic number, because the mean of its divisors is an integer number (13770000).

Almost surely, 2^1027021440 is an apocalyptic number.

1027021440 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 1027021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762560000).

1027021440 is an abundant number, since it is smaller than the sum of its proper divisors (2498098560).

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

1027021440 is a wasteful number, since it uses less digits than its factorization.

1027021440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 1027021440 is about 32047.1752265313. The cubic root of 1027021440 is about 1008.9272143585.

Adding to 1027021440 its reverse (441207201), we get a palindrome (1468228641).

It can be divided in two parts, 1027021 and 440, that added together give a triangular number (1027461 = T₁₄₃₃).

The spelling of 1027021440 in words is "one billion, twenty-seven million, twenty-one thousand, four hundred forty".