414328836096 has 260 divisors, whose sum is σ = 1414545334752. Its totient is φ = 118379003904.

The previous prime is 414328836071. The next prime is 414328836107. The reversal of 414328836096 is 690638823414.

414328836096 is a `hidden beast` number, since 4 + 1 + 4 + 3 + 28 + 8 + 3 + 609 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2233231 + ... + 2411633.

Almost surely, 2^414328836096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414328836096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707272667376).

414328836096 is an abundant number, since it is smaller than the sum of its proper divisors (1000216498656).

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

414328836096 is an equidigital number, since it uses as much as digits as its factorization.

414328836096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178446 (or 178415 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 414328836096 in words is "four hundred fourteen billion, three hundred twenty-eight million, eight hundred thirty-six thousand, ninety-six".