414233839152 has 480 divisors, whose sum is σ = 1467281088000. Its totient is φ = 106413834240.

The previous prime is 414233839141. The next prime is 414233839189. The reversal of 414233839152 is 251938332414.

It is a happy number.

414233839152 is a `hidden beast` number, since 41 + 423 + 3 + 8 + 39 + 152 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 414233839098 and 414233839107.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32762752 + ... + 32775392.

It is an arithmetic number, because the mean of its divisors is an integer number (3056835600).

Almost surely, 2^414233839152 is an apocalyptic number.

414233839152 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 414233839152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733640544000).

414233839152 is an abundant number, since it is smaller than the sum of its proper divisors (1053047248848).

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

414233839152 is a wasteful number, since it uses less digits than its factorization.

414233839152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12769 (or 12760 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 414233839152 in words is "four hundred fourteen billion, two hundred thirty-three million, eight hundred thirty-nine thousand, one hundred fifty-two".