414089108832 has 192 divisors, whose sum is σ = 1282467561984. Its totient is φ = 114515804160.

The previous prime is 414089108827. The next prime is 414089108833. The reversal of 414089108832 is 238801980414.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414089108833) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4755607 + ... + 4841897.

It is an arithmetic number, because the mean of its divisors is an integer number (6679518552).

Almost surely, 2^414089108832 is an apocalyptic number.

414089108832 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414089108832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641233780992).

414089108832 is an abundant number, since it is smaller than the sum of its proper divisors (868378453152).

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

414089108832 is a wasteful number, since it uses less digits than its factorization.

414089108832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86541 (or 86533 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 414089108832 in words is "four hundred fourteen billion, eighty-nine million, one hundred eight thousand, eight hundred thirty-two".