369201045120 has 256 divisors, whose sum is σ = 1211245332480. Its totient is φ = 95615815680.

The previous prime is 369201045097. The next prime is 369201045127. The reversal of 369201045120 is 21540102963.

It is not an unprimeable number, because it can be changed into a prime (369201045127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9113229 + ... + 9153651.

It is an arithmetic number, because the mean of its divisors is an integer number (4731427080).

Almost surely, 2^369201045120 is an apocalyptic number.

369201045120 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 369201045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605622666240).

369201045120 is an abundant number, since it is smaller than the sum of its proper divisors (842044287360).

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

369201045120 is a wasteful number, since it uses less digits than its factorization.

369201045120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40583 (or 40571 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 369201045120 in words is "three hundred sixty-nine billion, two hundred one million, forty-five thousand, one hundred twenty".