365365002240 has 1792 divisors, whose sum is σ = 1650349555200. Its totient is φ = 75676778496.

The previous prime is 365365002137. The next prime is 365365002251. The reversal of 365365002240 is 42200563563.

365365002240 is a `hidden beast` number, since 3 + 65 + 36 + 500 + 22 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

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

It is a junction number, because it is equal to n+sod(n) for n = 365365002195 and 365365002204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 15885434869 + ... + 15885434891.

Almost surely, 2^365365002240 is an apocalyptic number.

365365002240 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 365365002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825174777600).

365365002240 is an abundant number, since it is smaller than the sum of its proper divisors (1284984552960).

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

365365002240 is an frugal number, since it uses more digits than its factorization.

365365002240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 365365002240 in words is "three hundred sixty-five billion, three hundred sixty-five million, two thousand, two hundred forty".