241432414400 has 126 divisors (see below), whose sum is σ = 613860425820. Its totient is φ = 93457113600.

The previous prime is 241432414381. The next prime is 241432414451. The reversal of 241432414400 is 4414234142.

It is a super-2 number, since 2×241432414400² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1459091 + ... + 1616109.

Almost surely, 2^241432414400 is an apocalyptic number.

241432414400 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 241432414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306930212910).

241432414400 is an abundant number, since it is smaller than the sum of its proper divisors (372428011420).

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

241432414400 is a wasteful number, since it uses less digits than its factorization.

241432414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157103 (or 157057 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 241432414400 its reverse (4414234142), we get a palindrome (245846648542).

The spelling of 241432414400 in words is "two hundred forty-one billion, four hundred thirty-two million, four hundred fourteen thousand, four hundred".