414411232004 has 48 divisors (see below), whose sum is σ = 904220822400. Its totient is φ = 161449839360.

The previous prime is 414411232003. The next prime is 414411232031. The reversal of 414411232004 is 400232114414.

It is a super-2 number, since 2×414411232004² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (414411232003) by changing a digit.

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, 8765822 + ... + 8812970.

It is an arithmetic number, because the mean of its divisors is an integer number (18837933800).

Almost surely, 2^414411232004 is an apocalyptic number.

414411232004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

414411232004 is an abundant number, since it is smaller than the sum of its proper divisors (489809590396).

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

414411232004 is a wasteful number, since it uses less digits than its factorization.

414411232004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75708 (or 75706 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 414411232004 its reverse (400232114414), we get a palindrome (814643346418).

The spelling of 414411232004 in words is "four hundred fourteen billion, four hundred eleven million, two hundred thirty-two thousand, four".