1411006416 has 80 divisors (see below), whose sum is σ = 3770949120. Its totient is φ = 454164480.

The previous prime is 1411006381. The next prime is 1411006423. The reversal of 1411006416 is 6146001141.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1000720 + ... + 1002128.

It is an arithmetic number, because the mean of its divisors is an integer number (47136864).

Almost surely, 2^1411006416 is an apocalyptic number.

1411006416 is a gapful number since it is divisible by the number (16) 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 1411006416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1885474560).

1411006416 is an abundant number, since it is smaller than the sum of its proper divisors (2359942704).

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

1411006416 is a wasteful number, since it uses less digits than its factorization.

1411006416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2124 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1411006416 is about 37563.3653444417. The cubic root of 1411006416 is about 1121.6129015008.

Adding to 1411006416 its reverse (6146001141), we get a palindrome (7557007557).

The spelling of 1411006416 in words is "one billion, four hundred eleven million, six thousand, four hundred sixteen".