414134024004 has 36 divisors (see below), whose sum is σ = 1046881495296. Its totient is φ = 138039042288.

The previous prime is 414134023987. The next prime is 414134024047. The reversal of 414134024004 is 400420431414.

414134024004 is a `hidden beast` number, since 4 + 1 + 413 + 4 + 0 + 240 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 712237 + ... + 1155659.

It is an arithmetic number, because the mean of its divisors is an integer number (29080041536).

Almost surely, 2^414134024004 is an apocalyptic number.

It is an amenable number.

414134024004 is an abundant number, since it is smaller than the sum of its proper divisors (632747471292).

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

414134024004 is a wasteful number, since it uses less digits than its factorization.

414134024004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469376 (or 469371 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 414134024004 its reverse (400420431414), we get a palindrome (814554455418).

The spelling of 414134024004 in words is "four hundred fourteen billion, one hundred thirty-four million, twenty-four thousand, four".