1001361440 has 48 divisors (see below), whose sum is σ = 2398151448. Its totient is φ = 395053056.

The previous prime is 1001361407. The next prime is 1001361467. The reversal of 1001361440 is 441631001.

It can be written as a sum of positive squares in 4 ways, for example, as 946423696 + 54937744 = 30764^2 + 7412^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31187 + ... + 54546.

Almost surely, 2^1001361440 is an apocalyptic number.

1001361440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001361440 is an abundant number, since it is smaller than the sum of its proper divisors (1396790008).

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

1001361440 is an equidigital number, since it uses as much as digits as its factorization.

1001361440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85821 (or 85813 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 1001361440 is about 31644.2955364786. The cubic root of 1001361440 is about 1000.4536075424.

Adding to 1001361440 its reverse (441631001), we get a palindrome (1442992441).

The spelling of 1001361440 in words is "one billion, one million, three hundred sixty-one thousand, four hundred forty".