361828010140416 has 288 divisors, whose sum is σ = 1076536268801280. Its totient is φ = 119873150705664.

The previous prime is 361828010140411. The next prime is 361828010140427. The reversal of 361828010140416 is 614041010828163.

361828010140416 is a `hidden beast` number, since 3 + 6 + 1 + 8 + 2 + 80 + 10 + 140 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (361828010140411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 920820660 + ... + 921213516.

It is an arithmetic number, because the mean of its divisors is an integer number (3737973155560).

Almost surely, 2^{361828010140416} is an apocalyptic number.

361828010140416 is a gapful number since it is divisible by the number (36) 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 361828010140416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538268134400640).

361828010140416 is an abundant number, since it is smaller than the sum of its proper divisors (714708258660864).

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

361828010140416 is a wasteful number, since it uses less digits than its factorization.

361828010140416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393696 (or 393676 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

Adding to 361828010140416 its reverse (614041010828163), we get a palindrome (975869020968579).

The spelling of 361828010140416 in words is "three hundred sixty-one trillion, eight hundred twenty-eight billion, ten million, one hundred forty thousand, four hundred sixteen".