1002401440 has 36 divisors (see below), whose sum is σ = 2369119914. Its totient is φ = 400800384.

The previous prime is 1002401437. The next prime is 1002401473. The reversal of 1002401440 is 441042001.

It can be written as a sum of positive squares in only one way, i.e., 902161296 + 100240144 = 30036^2 + 10012^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 399229 + ... + 401731.

Almost surely, 2^1002401440 is an apocalyptic number.

1002401440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002401440 is an abundant number, since it is smaller than the sum of its proper divisors (1366718474).

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

1002401440 is an frugal number, since it uses more digits than its factorization.

1002401440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5021 (or 2510 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1002401440 is about 31660.7239336058. The cubic root of 1002401440 is about 1000.7998400853.

Adding to 1002401440 its reverse (441042001), we get a palindrome (1443443441).

The spelling of 1002401440 in words is "one billion, two million, four hundred one thousand, four hundred forty".