361205040 has 160 divisors (see below), whose sum is σ = 1299202560. Its totient is φ = 81303552.

The previous prime is 361205023. The next prime is 361205051. The reversal of 361205040 is 40502163.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 361204998 and 361205016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110956 + ... + 114164.

It is an arithmetic number, because the mean of its divisors is an integer number (8120016).

Almost surely, 2^361205040 is an apocalyptic number.

361205040 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 361205040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649601280).

361205040 is an abundant number, since it is smaller than the sum of its proper divisors (937997520).

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

361205040 is a wasteful number, since it uses less digits than its factorization.

361205040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3299 (or 3293 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 361205040 is about 19005.3950235190. The cubic root of 361205040 is about 712.1715174047.

The spelling of 361205040 in words is "three hundred sixty-one million, two hundred five thousand, forty".