361520040000 has 420 divisors, whose sum is σ = 1390438279824. Its totient is φ = 82631808000.

The previous prime is 361520039989. The next prime is 361520040001. The reversal of 361520040000 is 40025163.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (361520040001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5849259 + ... + 5910741.

Almost surely, 2^361520040000 is an apocalyptic number.

361520040000 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 361520040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695219139912).

361520040000 is an abundant number, since it is smaller than the sum of its proper divisors (1028918239824).

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

361520040000 is an equidigital number, since it uses as much as digits as its factorization.

361520040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61532 (or 61500 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 361520040000 its reverse (40025163), we get a palindrome (361560065163).

The spelling of 361520040000 in words is "three hundred sixty-one billion, five hundred twenty million, forty thousand".