399574665584640 has 3584 divisors, whose sum is σ = 1816402596986880. Its totient is φ = 81065882419200.

The previous prime is 399574665584629. The next prime is 399574665584641. The reversal of 399574665584640 is 46485566475993.

399574665584640 is a `hidden beast` number, since 3 + 9 + 9 + 5 + 7 + 46 + 65 + 58 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3584).

It is a super-3 number, since 3×399574665584640³ (a number of 45 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 399574665584640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (399574665584641) 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 255 ways as a sum of consecutive naturals, for example, 658277867217 + ... + 658277867823.

It is an arithmetic number, because the mean of its divisors is an integer number (506808760320).

Almost surely, 2^{399574665584640} is an apocalyptic number.

399574665584640 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 399574665584640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908201298493440).

399574665584640 is an abundant number, since it is smaller than the sum of its proper divisors (1416827931402240).

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

399574665584640 is a wasteful number, since it uses less digits than its factorization.

399574665584640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 23514624000, while the sum is 81.

The spelling of 399574665584640 in words is "three hundred ninety-nine trillion, five hundred seventy-four billion, six hundred sixty-five million, five hundred eighty-four thousand, six hundred forty".