42024830400 has 504 divisors, whose sum is σ = 178216651440. Its totient is φ = 9605191680.

The previous prime is 42024830357. The next prime is 42024830423. The reversal of 42024830400 is 403842024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2106874 + ... + 2126726.

Almost surely, 2^42024830400 is an apocalyptic number.

42024830400 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 42024830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89108325720).

42024830400 is an abundant number, since it is smaller than the sum of its proper divisors (136191821040).

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

42024830400 is a wasteful number, since it uses less digits than its factorization.

42024830400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19898 (or 19870 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 42024830400 in words is "forty-two billion, twenty-four million, eight hundred thirty thousand, four hundred".