369421041600 has 756 divisors, whose sum is σ = 1468863172504. Its totient is φ = 90900817920.

The previous prime is 369421041599. The next prime is 369421041607. The reversal of 369421041600 is 6140124963.

369421041600 is a `hidden beast` number, since 3 + 6 + 9 + 4 + 2 + 1 + 0 + 41 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (369421041607) 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 107 ways as a sum of consecutive naturals, for example, 136467447 + ... + 136470153.

Almost surely, 2^369421041600 is an apocalyptic number.

369421041600 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 369421041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734431586252).

369421041600 is an abundant number, since it is smaller than the sum of its proper divisors (1099442130904).

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

369421041600 is an equidigital number, since it uses as much as digits as its factorization.

369421041600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2766 (or 2730 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 369421041600 in words is "three hundred sixty-nine billion, four hundred twenty-one million, forty-one thousand, six hundred".