414498110730 has 128 divisors (see below), whose sum is σ = 1091548846080. Its totient is φ = 99901052160.

The previous prime is 414498110723. The next prime is 414498110731. The reversal of 414498110730 is 37011894414.

It is a super-2 number, since 2×414498110730² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (414498110731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44646669 + ... + 44655951.

It is an arithmetic number, because the mean of its divisors is an integer number (8527725360).

Almost surely, 2^414498110730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414498110730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545774423040).

414498110730 is an abundant number, since it is smaller than the sum of its proper divisors (677050735350).

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

414498110730 is a wasteful number, since it uses less digits than its factorization.

414498110730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10076.

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 414498110730 in words is "four hundred fourteen billion, four hundred ninety-eight million, one hundred ten thousand, seven hundred thirty".