1002421440 has 224 divisors, whose sum is σ = 3561405120. Its totient is φ = 265420800.

The previous prime is 1002421429. The next prime is 1002421447. The reversal of 1002421440 is 441242001.

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

It is not an unprimeable number, because it can be changed into a prime (1002421447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1563520 + ... + 1564160.

It is an arithmetic number, because the mean of its divisors is an integer number (15899130).

Almost surely, 2^1002421440 is an apocalyptic number.

1002421440 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 1002421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780702560).

1002421440 is an abundant number, since it is smaller than the sum of its proper divisors (2558983680).

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

1002421440 is a wasteful number, since it uses less digits than its factorization.

1002421440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1002421440 is about 31661.0397807779. The cubic root of 1002421440 is about 1000.8064960559.

Adding to 1002421440 its reverse (441242001), we get a palindrome (1443663441).

The spelling of 1002421440 in words is "one billion, two million, four hundred twenty-one thousand, four hundred forty".