1414012896 has 96 divisors (see below), whose sum is σ = 4139493120. Its totient is φ = 469590912.

The previous prime is 1414012891. The next prime is 1414012909. The reversal of 1414012896 is 6982104141.

1414012896 is a `hidden beast` number, since 141 + 401 + 28 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1414012896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1414012891) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 241621 + ... + 247403.

It is an arithmetic number, because the mean of its divisors is an integer number (43119720).

Almost surely, 2^1414012896 is an apocalyptic number.

1414012896 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 1414012896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2069746560).

1414012896 is an abundant number, since it is smaller than the sum of its proper divisors (2725480224).

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

1414012896 is a wasteful number, since it uses less digits than its factorization.

1414012896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6085 (or 6071 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1414012896 is about 37603.3628283429. The cubic root of 1414012896 is about 1122.4089561295.

The spelling of 1414012896 in words is "one billion, four hundred fourteen million, twelve thousand, eight hundred ninety-six".