416618001408 has 1056 divisors, whose sum is σ = 1452868239360. Its totient is φ = 105345515520.

The previous prime is 416618001383. The next prime is 416618001409. The reversal of 416618001408 is 804100816614.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416618001409) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 3280456641 + ... + 3280456767.

Almost surely, 2^416618001408 is an apocalyptic number.

416618001408 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 416618001408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726434119680).

416618001408 is an abundant number, since it is smaller than the sum of its proper divisors (1036250237952).

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

416618001408 is a wasteful number, since it uses less digits than its factorization.

416618001408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The spelling of 416618001408 in words is "four hundred sixteen billion, six hundred eighteen million, one thousand, four hundred eight".