414115441488 has 640 divisors, whose sum is σ = 1465620480000. Its totient is φ = 109323841536.

The previous prime is 414115441409. The next prime is 414115441489. The reversal of 414115441488 is 884144511414.

414115441488 is a `hidden beast` number, since 4 + 1 + 4 + 1 + 154 + 414 + 88 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414115441489) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 727794868 + ... + 727795436.

It is an arithmetic number, because the mean of its divisors is an integer number (2290032000).

Almost surely, 2^414115441488 is an apocalyptic number.

414115441488 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 414115441488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732810240000).

414115441488 is an abundant number, since it is smaller than the sum of its proper divisors (1051505038512).

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

414115441488 is a wasteful number, since it uses less digits than its factorization.

414115441488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 892 counting only the distinct ones).

The product of its digits is 327680, while the sum is 45.

The spelling of 414115441488 in words is "four hundred fourteen billion, one hundred fifteen million, four hundred forty-one thousand, four hundred eighty-eight".