416317978552980 has 384 divisors, whose sum is σ = 1404978021457920. Its totient is φ = 89980201175040.

The previous prime is 416317978552951. The next prime is 416317978553047. The reversal of 416317978552980 is 89255879713614.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16628097022 + ... + 16628122058.

It is an arithmetic number, because the mean of its divisors is an integer number (3658796930880).

It is a 1-persistent number, because it is pandigital, but 2⋅416317978552980 = 832635957105960 is not.

Almost surely, 2^{416317978552980} 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 416317978552980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702489010728960).

416317978552980 is an abundant number, since it is smaller than the sum of its proper divisors (988660042904940).

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

416317978552980 is a wasteful number, since it uses less digits than its factorization.

416317978552980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28919 (or 28917 counting only the distinct ones).

The product of its (nonzero) digits is 914457600, while the sum is 75.

The spelling of 416317978552980 in words is "four hundred sixteen trillion, three hundred seventeen billion, nine hundred seventy-eight million, five hundred fifty-two thousand, nine hundred eighty".