399933450240 has 768 divisors, whose sum is σ = 1452216729600. Its totient is φ = 93525442560.

The previous prime is 399933450229. The next prime is 399933450247. The reversal of 399933450240 is 42054339993.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is not an unprimeable number, because it can be changed into a prime (399933450247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12901079025 + ... + 12901079055.

It is an arithmetic number, because the mean of its divisors is an integer number (1890907200).

Almost surely, 2^399933450240 is an apocalyptic number.

399933450240 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 399933450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726108364800).

399933450240 is an abundant number, since it is smaller than the sum of its proper divisors (1052283279360).

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

399933450240 is an equidigital number, since it uses as much as digits as its factorization.

399933450240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 51.

The spelling of 399933450240 in words is "three hundred ninety-nine billion, nine hundred thirty-three million, four hundred fifty thousand, two hundred forty".