400103320000 has 140 divisors (see below), whose sum is σ = 992981687896. Its totient is φ = 159903360000.

The previous prime is 400103319961. The next prime is 400103320013. The reversal of 400103320000 is 23301004.

It is a super-3 number, since 3×400103320000³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 55236379 + ... + 55243621.

Almost surely, 2^400103320000 is an apocalyptic number.

400103320000 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 400103320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496490843948).

400103320000 is an abundant number, since it is smaller than the sum of its proper divisors (592878367896).

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

400103320000 is an equidigital number, since it uses as much as digits as its factorization.

400103320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8656 (or 8631 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 400103320000 its reverse (23301004), we get a palindrome (400126621004).

The spelling of 400103320000 in words is "four hundred billion, one hundred three million, three hundred twenty thousand".