414401101342344 has 384 divisors, whose sum is σ = 1224524246400000. Its totient is φ = 126105189686784.

The previous prime is 414401101342321. The next prime is 414401101342381. The reversal of 414401101342344 is 443243101104414.

414401101342344 is a `hidden beast` number, since 4 + 1 + 4 + 401 + 1 + 0 + 13 + 4 + 234 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 414401101342299 and 414401101342308.

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, 73228677387 + ... + 73228683045.

It is an arithmetic number, because the mean of its divisors is an integer number (3188865225000).

Almost surely, 2^{414401101342344} 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 414401101342344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612262123200000).

414401101342344 is an abundant number, since it is smaller than the sum of its proper divisors (810123145057656).

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

414401101342344 is a wasteful number, since it uses less digits than its factorization.

414401101342344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8985 (or 8978 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 414401101342344 its reverse (443243101104414), we get a palindrome (857644202446758).

The spelling of 414401101342344 in words is "four hundred fourteen trillion, four hundred one billion, one hundred one million, three hundred forty-two thousand, three hundred forty-four".