399651340320 has 288 divisors, whose sum is σ = 1409264123904. Its totient is φ = 103028889600.

The previous prime is 399651340261. The next prime is 399651340321. The reversal of 399651340320 is 23043156993.

399651340320 is a `hidden beast` number, since 3 + 9 + 96 + 513 + 40 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (399651340321) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 48787425 + ... + 48795615.

It is an arithmetic number, because the mean of its divisors is an integer number (4893278208).

Almost surely, 2^399651340320 is an apocalyptic number.

399651340320 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 399651340320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704632061952).

399651340320 is an abundant number, since it is smaller than the sum of its proper divisors (1009612783584).

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

399651340320 is a wasteful number, since it uses less digits than its factorization.

399651340320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9336 (or 9325 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The spelling of 399651340320 in words is "three hundred ninety-nine billion, six hundred fifty-one million, three hundred forty thousand, three hundred twenty".