1411016460 has 384 divisors, whose sum is σ = 5000970240. Its totient is φ = 290304000.

The previous prime is 1411016459. The next prime is 1411016471. The reversal of 1411016460 is 646101141.

It is a self number, because there is not a number n which added to its sum of digits gives 1411016460.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13970410 + ... + 13970510.

It is an arithmetic number, because the mean of its divisors is an integer number (13023360).

Almost surely, 2^1411016460 is an apocalyptic number.

1411016460 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 1411016460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2500485120).

1411016460 is an abundant number, since it is smaller than the sum of its proper divisors (3589953780).

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

1411016460 is a wasteful number, since it uses less digits than its factorization.

1411016460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 215 counting only the distinct ones).

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

The square root of 1411016460 is about 37563.4990382951. The cubic root of 1411016460 is about 1121.6155628290.

The spelling of 1411016460 in words is "one billion, four hundred eleven million, sixteen thousand, four hundred sixty".