42241214400 has 1008 divisors, whose sum is σ = 182256013440. Its totient is φ = 8459673600.

The previous prime is 42241214399. The next prime is 42241214413. The reversal of 42241214400 is 441214224.

42241214400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×42241214400³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 75028519 + ... + 75029081.

Almost surely, 2^42241214400 is an apocalyptic number.

42241214400 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 42241214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91128006720).

42241214400 is an abundant number, since it is smaller than the sum of its proper divisors (140014799040).

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

42241214400 is a wasteful number, since it uses less digits than its factorization.

42241214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 42241214400 its reverse (441214224), we get a palindrome (42682428624).

The spelling of 42241214400 in words is "forty-two billion, two hundred forty-one million, two hundred fourteen thousand, four hundred".