1414134000 has 240 divisors, whose sum is σ = 4974619104. Its totient is φ = 374400000.

The previous prime is 1414133971. The next prime is 1414134017. The reversal of 1414134000 is 4314141.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4517844 + ... + 4518156.

Almost surely, 2^1414134000 is an apocalyptic number.

1414134000 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 1414134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2487309552).

1414134000 is an abundant number, since it is smaller than the sum of its proper divisors (3560485104).

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

1414134000 is a wasteful number, since it uses less digits than its factorization.

1414134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1414134000 is about 37604.9730753793. The cubic root of 1414134000 is about 1122.4409983488.

Adding to 1414134000 its reverse (4314141), we get a palindrome (1418448141).

The spelling of 1414134000 in words is "one billion, four hundred fourteen million, one hundred thirty-four thousand".