365823408086400 has 768 divisors, whose sum is σ = 1342083268673280. Its totient is φ = 86840377344000.

The previous prime is 365823408086351. The next prime is 365823408086401. The reversal of 365823408086400 is 4680804328563.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (365823408086401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 990237720 + ... + 990607080.

It is an arithmetic number, because the mean of its divisors is an integer number (1747504256085).

Almost surely, 2^{365823408086400} is an apocalyptic number.

365823408086400 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 365823408086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671041634336640).

365823408086400 is an abundant number, since it is smaller than the sum of its proper divisors (976259860586880).

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

365823408086400 is a wasteful number, since it uses less digits than its factorization.

365823408086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369595 (or 369578 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 57.

The spelling of 365823408086400 in words is "three hundred sixty-five trillion, eight hundred twenty-three billion, four hundred eight million, eighty-six thousand, four hundred".