240424150400 has 192 divisors, whose sum is σ = 690277248000. Its totient is φ = 81033553920.

The previous prime is 240424150397. The next prime is 240424150403. The reversal of 240424150400 is 4051424042.

It is an interprime number because it is at equal distance from previous prime (240424150397) and next prime (240424150403).

It is a self number, because there is not a number n which added to its sum of digits gives 240424150400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240424150403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1230641 + ... + 1412559.

It is an arithmetic number, because the mean of its divisors is an integer number (3595194000).

Almost surely, 2^240424150400 is an apocalyptic number.

240424150400 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 240424150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345138624000).

240424150400 is an abundant number, since it is smaller than the sum of its proper divisors (449853097600).

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

240424150400 is a wasteful number, since it uses less digits than its factorization.

240424150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182009 (or 181992 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 26.

Adding to 240424150400 its reverse (4051424042), we get a palindrome (244475574442).

The spelling of 240424150400 in words is "two hundred forty billion, four hundred twenty-four million, one hundred fifty thousand, four hundred".