365220113040 has 120 divisors (see below), whose sum is σ = 1227734654328. Its totient is φ = 97296445440.

The previous prime is 365220112997. The next prime is 365220113057. The reversal of 365220113040 is 40311022563.

365220113040 is a `hidden beast` number, since 3 + 6 + 522 + 0 + 1 + 130 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5623200144 + 359596912896 = 74988^2 + 599664^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 365220112995 and 365220113013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 486712 + ... + 983528.

Almost surely, 2^365220113040 is an apocalyptic number.

365220113040 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 365220113040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613867327164).

365220113040 is an abundant number, since it is smaller than the sum of its proper divisors (862514541288).

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

365220113040 is a wasteful number, since it uses less digits than its factorization.

365220113040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497857 (or 497848 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 365220113040 in words is "three hundred sixty-five billion, two hundred twenty million, one hundred thirteen thousand, forty".