414516650527728 has 400 divisors, whose sum is σ = 1485538122689280. Its totient is φ = 108874412623872.

The previous prime is 414516650527657. The next prime is 414516650527741. The reversal of 414516650527728 is 827725056615414.

414516650527728 is a `hidden beast` number, since 4 + 1 + 4 + 51 + 6 + 6 + 50 + 527 + 7 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24621358 + ... + 37884621.

Almost surely, 2^{414516650527728} is an apocalyptic number.

414516650527728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

414516650527728 is an abundant number, since it is smaller than the sum of its proper divisors (1071021472161552).

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

414516650527728 is a wasteful number, since it uses less digits than its factorization.

414516650527728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62506066 (or 62506051 counting only the distinct ones).

The product of its (nonzero) digits is 112896000, while the sum is 63.

The spelling of 414516650527728 in words is "four hundred fourteen trillion, five hundred sixteen billion, six hundred fifty million, five hundred twenty-seven thousand, seven hundred twenty-eight".