2414100134000 has 80 divisors (see below), whose sum is σ = 5888952145440. Its totient is φ = 957094476800.

The previous prime is 2414100133967. The next prime is 2414100134011. The reversal of 2414100134000 is 4310014142.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5114930 + ... + 5566929.

It is an arithmetic number, because the mean of its divisors is an integer number (73611901818).

Almost surely, 2^{2414100134000} is an apocalyptic number.

2414100134000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2414100134000 is an abundant number, since it is smaller than the sum of its proper divisors (3474852011440).

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

2414100134000 is a wasteful number, since it uses less digits than its factorization.

2414100134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10681995 (or 10681979 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 2414100134000 its reverse (4310014142), we get a palindrome (2418410148142).

The spelling of 2414100134000 in words is "two trillion, four hundred fourteen billion, one hundred million, one hundred thirty-four thousand".