416387786976 has 384 divisors, whose sum is σ = 1434705592320. Its totient is φ = 114971788800.

The previous prime is 416387786953. The next prime is 416387786989. The reversal of 416387786976 is 679687783614.

It is a happy number.

416387786976 is a `hidden beast` number, since 416 + 3 + 87 + 7 + 8 + 69 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 222547321 + ... + 222549191.

It is an arithmetic number, because the mean of its divisors is an integer number (3736212480).

Almost surely, 2^416387786976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416387786976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717352796160).

416387786976 is an abundant number, since it is smaller than the sum of its proper divisors (1018317805344).

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

416387786976 is a wasteful number, since it uses less digits than its factorization.

416387786976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3115 (or 3101 counting only the distinct ones).

The product of its digits is 512096256, while the sum is 72.

The spelling of 416387786976 in words is "four hundred sixteen billion, three hundred eighty-seven million, seven hundred eighty-six thousand, nine hundred seventy-six".