36030290413824 has 576 divisors, whose sum is σ = 133091110010880. Its totient is φ = 9376268451840.

The previous prime is 36030290413781. The next prime is 36030290413861. The reversal of 36030290413824 is 42831409203063.

36030290413824 is a `hidden beast` number, since 3 + 603 + 0 + 2 + 9 + 0 + 4 + 1 + 38 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 36030290413824.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24791847 + ... + 26204889.

It is an arithmetic number, because the mean of its divisors is an integer number (231060954880).

Almost surely, 2^{36030290413824} is an apocalyptic number.

36030290413824 is a gapful number since it is divisible by the number (34) 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 36030290413824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66545555005440).

36030290413824 is an abundant number, since it is smaller than the sum of its proper divisors (97060819597056).

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

36030290413824 is a wasteful number, since it uses less digits than its factorization.

36030290413824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413123 (or 1413103 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

Adding to 36030290413824 its reverse (42831409203063), we get a palindrome (78861699616887).

The spelling of 36030290413824 in words is "thirty-six trillion, thirty billion, two hundred ninety million, four hundred thirteen thousand, eight hundred twenty-four".