416601776640 has 320 divisors, whose sum is σ = 1550813527296. Its totient is φ = 93425958912.

The previous prime is 416601776621. The next prime is 416601776653. The reversal of 416601776640 is 46677106614.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 416601776640.

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 31 ways as a sum of consecutive naturals, for example, 2776174 + ... + 2922386.

Almost surely, 2^416601776640 is an apocalyptic number.

416601776640 is a gapful number since it is divisible by the number (40) 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 416601776640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775406763648).

416601776640 is an abundant number, since it is smaller than the sum of its proper divisors (1134211750656).

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

416601776640 is a wasteful number, since it uses less digits than its factorization.

416601776640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146299 (or 146283 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 416601776640 in words is "four hundred sixteen billion, six hundred one million, seven hundred seventy-six thousand, six hundred forty".