361530341521440 has 768 divisors, whose sum is σ = 1436543797248000. Its totient is φ = 74380503121920.

The previous prime is 361530341521439. The next prime is 361530341521441. The reversal of 361530341521440 is 44125143035163.

It is an interprime number because it is at equal distance from previous prime (361530341521439) and next prime (361530341521441).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 361530341521392 and 361530341521401.

It is not an unprimeable number, because it can be changed into a prime (361530341521441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3579918627 + ... + 3580019613.

It is an arithmetic number, because the mean of its divisors is an integer number (1870499736000).

Almost surely, 2^{361530341521440} is an apocalyptic number.

361530341521440 is a gapful number since it is divisible by the number (30) 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 361530341521440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718271898624000).

361530341521440 is an abundant number, since it is smaller than the sum of its proper divisors (1075013455726560).

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

361530341521440 is a wasteful number, since it uses less digits than its factorization.

361530341521440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103065 (or 103057 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 361530341521440 in words is "three hundred sixty-one trillion, five hundred thirty billion, three hundred forty-one million, five hundred twenty-one thousand, four hundred forty".