414114241002 has 64 divisors (see below), whose sum is σ = 1033522274304. Its totient is φ = 107465711040.

The previous prime is 414114240997. The next prime is 414114241003. The reversal of 414114241002 is 200142411414.

It is not an unprimeable number, because it can be changed into a prime (414114241003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 114823 + ... + 917285.

It is an arithmetic number, because the mean of its divisors is an integer number (16148785536).

Almost surely, 2^414114241002 is an apocalyptic number.

414114241002 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 414114241002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516761137152).

414114241002 is an abundant number, since it is smaller than the sum of its proper divisors (619408033302).

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

414114241002 is a wasteful number, since it uses less digits than its factorization.

414114241002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803603.

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 414114241002 its reverse (200142411414), we get a palindrome (614256652416).

The spelling of 414114241002 in words is "four hundred fourteen billion, one hundred fourteen million, two hundred forty-one thousand, two".