399671040000 has 960 divisors, whose sum is σ = 1429209381600. Its totient is φ = 99090432000.

The previous prime is 399671039947. The next prime is 399671040023. The reversal of 399671040000 is 40176993.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4120319952 + ... + 4120320048.

Almost surely, 2^399671040000 is an apocalyptic number.

399671040000 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 399671040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714604690800).

399671040000 is an abundant number, since it is smaller than the sum of its proper divisors (1029538341600).

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

399671040000 is an equidigital number, since it uses as much as digits as its factorization.

399671040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

It can be divided in two parts, 3996 and 71040000, that multiplied together give a square (283875840000 = 532800²).

The spelling of 399671040000 in words is "three hundred ninety-nine billion, six hundred seventy-one million, forty thousand".