399942400000 has 1152 divisors, whose sum is σ = 1289842444800. Its totient is φ = 121651200000.

The previous prime is 399942399919. The next prime is 399942400009. The reversal of 399942400000 is 4249993.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (399942400009) 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, 17388799989 + ... + 17388800011.

It is an arithmetic number, because the mean of its divisors is an integer number (1119654900).

Almost surely, 2^399942400000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 399942400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644921222400).

399942400000 is an abundant number, since it is smaller than the sum of its proper divisors (889900044800).

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

399942400000 is a wasteful number, since it uses less digits than its factorization.

399942400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 40.

Adding to 399942400000 its reverse (4249993), we get a palindrome (399946649993).

The spelling of 399942400000 in words is "three hundred ninety-nine billion, nine hundred forty-two million, four hundred thousand".