416988463104 has 544 divisors, whose sum is σ = 1325389952000. Its totient is φ = 129185611776.

The previous prime is 416988463097. The next prime is 416988463169. The reversal of 416988463104 is 401364889614.

416988463104 is a `hidden beast` number, since 4 + 169 + 8 + 8 + 463 + 10 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2655977394 + ... + 2655977550.

Almost surely, 2^416988463104 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 416988463104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662694976000).

416988463104 is an abundant number, since it is smaller than the sum of its proper divisors (908401488896).

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

416988463104 is an equidigital number, since it uses as much as digits as its factorization.

416988463104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 416988463104 in words is "four hundred sixteen billion, nine hundred eighty-eight million, four hundred sixty-three thousand, one hundred four".