361566623340 has 192 divisors, whose sum is σ = 1216476979200. Its totient is φ = 88628214528.

The previous prime is 361566623329. The next prime is 361566623359. The reversal of 361566623340 is 43326665163.

It is a super-2 number, since 2×361566623340² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1570029 + ... + 1785531.

It is an arithmetic number, because the mean of its divisors is an integer number (6335817600).

Almost surely, 2^361566623340 is an apocalyptic number.

361566623340 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 361566623340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608238489600).

361566623340 is an abundant number, since it is smaller than the sum of its proper divisors (854910355860).

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

361566623340 is a wasteful number, since it uses less digits than its factorization.

361566623340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215773 (or 215765 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

It can be divided in two parts, 361566 and 623340, that added together give a triangular number (984906 = T₁₄₀₃).

The spelling of 361566623340 in words is "three hundred sixty-one billion, five hundred sixty-six million, six hundred twenty-three thousand, three hundred forty".