240420400000 has 384 divisors, whose sum is σ = 660774270240. Its totient is φ = 86400000000.

The previous prime is 240420399991. The next prime is 240420400057. The reversal of 240420400000 is 4024042.

240420400000 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-3 number, since 3×240420400000³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 444399730 + ... + 444400270.

Almost surely, 2^240420400000 is an apocalyptic number.

240420400000 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 240420400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330387135120).

240420400000 is an abundant number, since it is smaller than the sum of its proper divisors (420353870240).

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

240420400000 is an equidigital number, since it uses as much as digits as its factorization.

240420400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 240420400000 its reverse (4024042), we get a palindrome (240424424042).

The spelling of 240420400000 in words is "two hundred forty billion, four hundred twenty million, four hundred thousand".