42000422400 has 480 divisors, whose sum is σ = 157139183520. Its totient is φ = 10983997440.

The previous prime is 42000422381. The next prime is 42000422483. The reversal of 42000422400 is 422400024.

42000422400 is a `hidden beast` number, since 4 + 200 + 0 + 422 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18315654 + ... + 18317946.

It is an arithmetic number, because the mean of its divisors is an integer number (327373299).

Almost surely, 2^42000422400 is an apocalyptic number.

42000422400 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 42000422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78569591760).

42000422400 is an abundant number, since it is smaller than the sum of its proper divisors (115138761120).

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

42000422400 is a wasteful number, since it uses less digits than its factorization.

42000422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2383 (or 2356 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 42000422400 its reverse (422400024), we get a palindrome (42422822424).

The spelling of 42000422400 in words is "forty-two billion, four hundred twenty-two thousand, four hundred".