36412382385024 has 128 divisors (see below), whose sum is σ = 97066906010880. Its totient is φ = 12094006579200.

The previous prime is 36412382384981. The next prime is 36412382385073. The reversal of 36412382385024 is 42058328321463.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×36412382385024³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318090999 + ... + 318205449.

It is an arithmetic number, because the mean of its divisors is an integer number (758335203210).

Almost surely, 2^{36412382385024} 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 36412382385024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48533453005440).

36412382385024 is an abundant number, since it is smaller than the sum of its proper divisors (60654523625856).

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

36412382385024 is a wasteful number, since it uses less digits than its factorization.

36412382385024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117428 (or 117416 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 51.

The spelling of 36412382385024 in words is "thirty-six trillion, four hundred twelve billion, three hundred eighty-two million, three hundred eighty-five thousand, twenty-four".