1405514016 has 72 divisors (see below), whose sum is σ = 4033689660. Its totient is φ = 464196096.

The previous prime is 1405514003. The next prime is 1405514021. The reversal of 1405514016 is 6104155041.

1405514016 is a `hidden beast` number, since 140 + 5 + 514 + 0 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1354534416 + 50979600 = 36804^2 + 7140^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 9006 + ... + 53778.

Almost surely, 2^1405514016 is an apocalyptic number.

1405514016 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 1405514016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2016844830).

1405514016 is an abundant number, since it is smaller than the sum of its proper divisors (2628175644).

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

1405514016 is a wasteful number, since it uses less digits than its factorization.

1405514016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44898 (or 44887 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1405514016 is about 37490.1855956996. The cubic root of 1405514016 is about 1120.1557011427.

Adding to 1405514016 its reverse (6104155041), we get a palindrome (7509669057).

The spelling of 1405514016 in words is "one billion, four hundred five million, five hundred fourteen thousand, sixteen".