4042424314400 has 144 divisors (see below), whose sum is σ = 10228278863880. Its totient is φ = 1558832947200.

The previous prime is 4042424314391. The next prime is 4042424314429. The reversal of 4042424314400 is 44134242404.

It can be written as a sum of positive squares in 12 ways, for example, as 1096518933904 + 2945905380496 = 1047148^2 + 1716364^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 2599940 + ... + 3852860.

Almost surely, 2^{4042424314400} is an apocalyptic number.

4042424314400 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 4042424314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5114139431940).

4042424314400 is an abundant number, since it is smaller than the sum of its proper divisors (6185854549480).

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

4042424314400 is a wasteful number, since it uses less digits than its factorization.

4042424314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253087 (or 1253074 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 4042424314400 its reverse (44134242404), we get a palindrome (4086558556804).

The spelling of 4042424314400 in words is "four trillion, forty-two billion, four hundred twenty-four million, three hundred fourteen thousand, four hundred".