414374371728 has 160 divisors (see below), whose sum is σ = 1126039833600. Its totient is φ = 131141058048.

The previous prime is 414374371709. The next prime is 414374371753. The reversal of 414374371728 is 827173473414.

It is a super-2 number, since 2×414374371728² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111419053 + ... + 111422771.

It is an arithmetic number, because the mean of its divisors is an integer number (7037748960).

Almost surely, 2^414374371728 is an apocalyptic number.

414374371728 is a gapful number since it is divisible by the number (48) 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 414374371728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563019916800).

414374371728 is an abundant number, since it is smaller than the sum of its proper divisors (711665461872).

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

414374371728 is a wasteful number, since it uses less digits than its factorization.

414374371728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5269 (or 5263 counting only the distinct ones).

The product of its digits is 3161088, while the sum is 51.

The spelling of 414374371728 in words is "four hundred fourteen billion, three hundred seventy-four million, three hundred seventy-one thousand, seven hundred twenty-eight".