414024011104 has 48 divisors (see below), whose sum is σ = 894666064320. Its totient is φ = 187038149760.

The previous prime is 414024011101. The next prime is 414024011119. The reversal of 414024011104 is 401110420414.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414024011101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3550614 + ... + 3665365.

It is an arithmetic number, because the mean of its divisors is an integer number (18638876340).

Almost surely, 2^414024011104 is an apocalyptic number.

414024011104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

414024011104 is an abundant number, since it is smaller than the sum of its proper divisors (480642053216).

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

414024011104 is a wasteful number, since it uses less digits than its factorization.

414024011104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7216163 (or 7216155 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 414024011104 its reverse (401110420414), we get a palindrome (815134431518).

The spelling of 414024011104 in words is "four hundred fourteen billion, twenty-four million, eleven thousand, one hundred four".