414004450125105 has 48 divisors (see below), whose sum is σ = 820741129987584. Its totient is φ = 189116555172480.

The previous prime is 414004450125083. The next prime is 414004450125121. The reversal of 414004450125105 is 501521054400414.

414004450125105 is a `hidden beast` number, since 4 + 1 + 4 + 0 + 0 + 44 + 501 + 2 + 5 + 105 = 666.

It is not a de Polignac number, because 414004450125105 - 2⁷ = 414004450124977 is a prime.

It is a super-2 number, since 2×414004450125105² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 414004450125105.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 494796706 + ... + 495632715.

It is an arithmetic number, because the mean of its divisors is an integer number (17098773541408).

Almost surely, 2^{414004450125105} is an apocalyptic number.

414004450125105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

414004450125105 is a deficient number, since it is larger than the sum of its proper divisors (406736679862479).

414004450125105 is a wasteful number, since it uses less digits than its factorization.

414004450125105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990430766 (or 990430763 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The spelling of 414004450125105 in words is "four hundred fourteen trillion, four billion, four hundred fifty million, one hundred twenty-five thousand, one hundred five".