417874081552 has 80 divisors (see below), whose sum is σ = 860538047040. Its totient is φ = 196199732736.

The previous prime is 417874081517. The next prime is 417874081553. The reversal of 417874081552 is 255180478714.

It is a self number, because there is not a number n which added to its sum of digits gives 417874081552.

It is not an unprimeable number, because it can be changed into a prime (417874081553) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73527703 + ... + 73533385.

It is an arithmetic number, because the mean of its divisors is an integer number (10756725588).

Almost surely, 2^417874081552 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 417874081552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430269023520).

417874081552 is an abundant number, since it is smaller than the sum of its proper divisors (442663965488).

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

417874081552 is a wasteful number, since it uses less digits than its factorization.

417874081552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10040 (or 10034 counting only the distinct ones).

The product of its (nonzero) digits is 2508800, while the sum is 52.

The spelling of 417874081552 in words is "four hundred seventeen billion, eight hundred seventy-four million, eighty-one thousand, five hundred fifty-two".