414801881088 has 576 divisors, whose sum is σ = 1367177011200. Its totient is φ = 111198044160.

The previous prime is 414801881047. The next prime is 414801881093. The reversal of 414801881088 is 880188108414.

It is a self number, because there is not a number n which added to its sum of digits gives 414801881088.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 726447843 + ... + 726448413.

It is an arithmetic number, because the mean of its divisors is an integer number (2373571200).

Almost surely, 2^414801881088 is an apocalyptic number.

414801881088 is a gapful number since it is divisible by the number (48) 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 414801881088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683588505600).

414801881088 is an abundant number, since it is smaller than the sum of its proper divisors (952375130112).

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

414801881088 is a wasteful number, since it uses less digits than its factorization.

414801881088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 51.

The spelling of 414801881088 in words is "four hundred fourteen billion, eight hundred one million, eight hundred eighty-one thousand, eighty-eight".