361966845240 has 768 divisors, whose sum is σ = 1618081920000. Its totient is φ = 67732070400.

The previous prime is 361966845223. The next prime is 361966845277. The reversal of 361966845240 is 42548669163.

361966845240 is a `hidden beast` number, since 3 + 6 + 1 + 96 + 68 + 452 + 40 = 666.

It is a super-2 number, since 2×361966845240² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14762511 + ... + 14787009.

It is an arithmetic number, because the mean of its divisors is an integer number (2106877500).

Almost surely, 2^361966845240 is an apocalyptic number.

361966845240 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 361966845240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809040960000).

361966845240 is an abundant number, since it is smaller than the sum of its proper divisors (1256115074760).

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

361966845240 is a wasteful number, since it uses less digits than its factorization.

361966845240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24588 (or 24581 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 361966845240 in words is "three hundred sixty-one billion, nine hundred sixty-six million, eight hundred forty-five thousand, two hundred forty".