363442130550 has 192 divisors, whose sum is σ = 1014707554560. Its totient is φ = 95641021440.

The previous prime is 363442130543. The next prime is 363442130551. The reversal of 363442130550 is 55031244363.

363442130550 is a `hidden beast` number, since 3 + 6 + 34 + 42 + 1 + 30 + 550 = 666.

It is a super-4 number, since 4×363442130550⁴ (a number of 47 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363442130551) 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 95 ways as a sum of consecutive naturals, for example, 159894214 + ... + 159896486.

It is an arithmetic number, because the mean of its divisors is an integer number (5284935180).

Almost surely, 2^363442130550 is an apocalyptic number.

363442130550 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 363442130550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507353777280).

363442130550 is an abundant number, since it is smaller than the sum of its proper divisors (651265424010).

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

363442130550 is a wasteful number, since it uses less digits than its factorization.

363442130550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3804 (or 3793 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 363442130550 in words is "three hundred sixty-three billion, four hundred forty-two million, one hundred thirty thousand, five hundred fifty".