240399110400 has 216 divisors, whose sum is σ = 802287087840. Its totient is φ = 63385681920.

The previous prime is 240399110351. The next prime is 240399110401. The reversal of 240399110400 is 4011993042.

240399110400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×240399110400² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (240399110401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1638459 + ... + 1779141.

Almost surely, 2^240399110400 is an apocalyptic number.

240399110400 is a gapful number since it is divisible by the number (20) 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 240399110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401143543920).

240399110400 is an abundant number, since it is smaller than the sum of its proper divisors (561887977440).

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

240399110400 is a wasteful number, since it uses less digits than its factorization.

240399110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140801 (or 140782 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 240399110400 in words is "two hundred forty billion, three hundred ninety-nine million, one hundred ten thousand, four hundred".