1001416440 has 64 divisors (see below), whose sum is σ = 3055190400. Its totient is φ = 262516352.

The previous prime is 1001416439. The next prime is 1001416441. The reversal of 1001416440 is 446141001.

It is an interprime number because it is at equal distance from previous prime (1001416439) and next prime (1001416441).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001416441) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 63642 + ... + 77801.

It is an arithmetic number, because the mean of its divisors is an integer number (47737350).

Almost surely, 2^1001416440 is an apocalyptic number.

1001416440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001416440 is an abundant number, since it is smaller than the sum of its proper divisors (2053773960).

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

1001416440 is a wasteful number, since it uses less digits than its factorization.

1001416440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141516 (or 141512 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1001416440 is about 31645.1645595342. The cubic root of 1001416440 is about 1000.4719239194.

Adding to 1001416440 its reverse (446141001), we get a palindrome (1447557441).

The spelling of 1001416440 in words is "one billion, one million, four hundred sixteen thousand, four hundred forty".