424131411440 has 160 divisors (see below), whose sum is σ = 1110566794176. Its totient is φ = 149281505280.

The previous prime is 424131411409. The next prime is 424131411449. The reversal of 424131411440 is 44114131424.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424131411449) 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 31 ways as a sum of consecutive naturals, for example, 6250334 + ... + 6317826.

Almost surely, 2^424131411440 is an apocalyptic number.

424131411440 is a gapful number since it is divisible by the number (40) 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 424131411440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555283397088).

424131411440 is an abundant number, since it is smaller than the sum of its proper divisors (686435382736).

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

424131411440 is a wasteful number, since it uses less digits than its factorization.

424131411440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67747 (or 67741 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 424131411440 its reverse (44114131424), we get a palindrome (468245542864).

The spelling of 424131411440 in words is "four hundred twenty-four billion, one hundred thirty-one million, four hundred eleven thousand, four hundred forty".