240441142400 has 192 divisors, whose sum is σ = 605984652000. Its totient is φ = 94240849920.

The previous prime is 240441142397. The next prime is 240441142429. The reversal of 240441142400 is 4241144042.

It is a self number, because there is not a number n which added to its sum of digits gives 240441142400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63623711 + ... + 63627489.

Almost surely, 2^240441142400 is an apocalyptic number.

240441142400 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 240441142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302992326000).

240441142400 is an abundant number, since it is smaller than the sum of its proper divisors (365543509600).

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

240441142400 is a wasteful number, since it uses less digits than its factorization.

240441142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4199 (or 4182 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 240441142400 its reverse (4241144042), we get a palindrome (244682286442).

The spelling of 240441142400 in words is "two hundred forty billion, four hundred forty-one million, one hundred forty-two thousand, four hundred".