414133144000 has 112 divisors (see below), whose sum is σ = 1029230388576. Its totient is φ = 165067008000.

The previous prime is 414133143973. The next prime is 414133144001. The reversal of 414133144000 is 441331414.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414133144001) 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, 2172540 + ... + 2355460.

Almost surely, 2^414133144000 is an apocalyptic number.

414133144000 is a gapful number since it is divisible by the number (40) 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 414133144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514615194288).

414133144000 is an abundant number, since it is smaller than the sum of its proper divisors (615097244576).

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

414133144000 is a wasteful number, since it uses less digits than its factorization.

414133144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183231 (or 183211 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 414133144000 its reverse (441331414), we get a palindrome (414574475414).

The spelling of 414133144000 in words is "four hundred fourteen billion, one hundred thirty-three million, one hundred forty-four thousand".