42423104400 has 240 divisors, whose sum is σ = 143190168576. Its totient is φ = 10715189760.

The previous prime is 42423104387. The next prime is 42423104407. The reversal of 42423104400 is 440132424.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (42423104407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2835339 + ... + 2850261.

Almost surely, 2^42423104400 is an apocalyptic number.

42423104400 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 42423104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71595084288).

42423104400 is an abundant number, since it is smaller than the sum of its proper divisors (100767064176).

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

42423104400 is a wasteful number, since it uses less digits than its factorization.

42423104400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15070 (or 15059 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 42423104400 its reverse (440132424), we get a palindrome (42863236824).

The spelling of 42423104400 in words is "forty-two billion, four hundred twenty-three million, one hundred four thousand, four hundred".