400333340000 has 720 divisors, whose sum is σ = 1181689163424. Its totient is φ = 132802560000.

The previous prime is 400333339997. The next prime is 400333340009. The reversal of 400333340000 is 43333004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400333340009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1522179869 + ... + 1522180131.

Almost surely, 2^400333340000 is an apocalyptic number.

400333340000 is a gapful number since it is divisible by the number (40) 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 400333340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590844581712).

400333340000 is an abundant number, since it is smaller than the sum of its proper divisors (781355823424).

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

400333340000 is a wasteful number, since it uses less digits than its factorization.

400333340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

Adding to 400333340000 its reverse (43333004), we get a palindrome (400376673004).

The spelling of 400333340000 in words is "four hundred billion, three hundred thirty-three million, three hundred forty thousand".