414057750414 has 192 divisors, whose sum is σ = 1059939219456. Its totient is φ = 104749200000.

The previous prime is 414057750389. The next prime is 414057750433.

414057750414 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 183942789 + ... + 183945039.

It is an arithmetic number, because the mean of its divisors is an integer number (5520516768).

Almost surely, 2^414057750414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414057750414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529969609728).

414057750414 is an abundant number, since it is smaller than the sum of its proper divisors (645881469042).

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

414057750414 is a wasteful number, since it uses less digits than its factorization.

414057750414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2503 (or 2442 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 42.

The spelling of 414057750414 in words is "four hundred fourteen billion, fifty-seven million, seven hundred fifty thousand, four hundred fourteen".