42344431440 has 120 divisors (see below), whose sum is σ = 132321575520. Its totient is φ = 11201912064.

The previous prime is 42344431429. The next prime is 42344431447. The reversal of 42344431440 is 4413444324.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42344431447) 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, 3865491 + ... + 3876429.

It is an arithmetic number, because the mean of its divisors is an integer number (1102679796).

Almost surely, 2^42344431440 is an apocalyptic number.

42344431440 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 42344431440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66160787760).

42344431440 is an abundant number, since it is smaller than the sum of its proper divisors (89977144080).

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

42344431440 is a wasteful number, since it uses less digits than its factorization.

42344431440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11209 (or 11076 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 42344431440 its reverse (4413444324), we get a palindrome (46757875764).

The spelling of 42344431440 in words is "forty-two billion, three hundred forty-four million, four hundred thirty-one thousand, four hundred forty".