361124400000 has 768 divisors, whose sum is σ = 1476100523520. Its totient is φ = 76170240000.

The previous prime is 361124399969. The next prime is 361124400053. The reversal of 361124400000 is 4421163.

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

It is a self number, because there is not a number n which added to its sum of digits gives 361124400000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 109198347 + ... + 109201653.

It is an arithmetic number, because the mean of its divisors is an integer number (1922005890).

Almost surely, 2^361124400000 is an apocalyptic number.

361124400000 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 361124400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738050261760).

361124400000 is an abundant number, since it is smaller than the sum of its proper divisors (1114976123520).

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

361124400000 is an equidigital number, since it uses as much as digits as its factorization.

361124400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3369 (or 3337 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 361124400000 its reverse (4421163), we get a palindrome (361128821163).

The spelling of 361124400000 in words is "three hundred sixty-one billion, one hundred twenty-four million, four hundred thousand".