1414045152 has 144 divisors (see below), whose sum is σ = 4519071648. Its totient is φ = 416148480.

The previous prime is 1414045121. The next prime is 1414045177. The reversal of 1414045152 is 2515404141.

1414045152 is a `hidden beast` number, since 1 + 4 + 140 + 4 + 515 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 77902 + ... + 94322.

It is an arithmetic number, because the mean of its divisors is an integer number (31382442).

Almost surely, 2^1414045152 is an apocalyptic number.

1414045152 is a gapful number since it is divisible by the number (12) 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 1414045152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2259535824).

1414045152 is an abundant number, since it is smaller than the sum of its proper divisors (3105026496).

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

1414045152 is a wasteful number, since it uses less digits than its factorization.

1414045152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16473 (or 16462 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 1414045152 is about 37603.7917237079. The cubic root of 1414045152 is about 1122.4174907401.

Adding to 1414045152 its reverse (2515404141), we get a palindrome (3929449293).

The spelling of 1414045152 in words is "one billion, four hundred fourteen million, forty-five thousand, one hundred fifty-two".