366412314240 has 768 divisors, whose sum is σ = 1504384128000. Its totient is φ = 80430465024.

The previous prime is 366412314239. The next prime is 366412314241. The reversal of 366412314240 is 42413214663.

366412314240 is a `hidden beast` number, since 3 + 6 + 641 + 2 + 3 + 1 + 4 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (366412314239) and next prime (366412314241).

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 = 366412314195 and 366412314204.

It is not an unprimeable number, because it can be changed into a prime (366412314241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 117853806 + ... + 117856914.

It is an arithmetic number, because the mean of its divisors is an integer number (1958833500).

Almost surely, 2^366412314240 is an apocalyptic number.

366412314240 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 366412314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752192064000).

366412314240 is an abundant number, since it is smaller than the sum of its proper divisors (1137971813760).

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

366412314240 is a wasteful number, since it uses less digits than its factorization.

366412314240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3257 (or 3242 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 366412314240 in words is "three hundred sixty-six billion, four hundred twelve million, three hundred fourteen thousand, two hundred forty".