422352542400 has 336 divisors, whose sum is σ = 1469767643136. Its totient is φ = 105815162880.

The previous prime is 422352542371. The next prime is 422352542411. The reversal of 422352542400 is 4245253224.

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, 49526937 + ... + 49535463.

Almost surely, 2^422352542400 is an apocalyptic number.

422352542400 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 422352542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734883821568).

422352542400 is an abundant number, since it is smaller than the sum of its proper divisors (1047415100736).

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

422352542400 is a wasteful number, since it uses less digits than its factorization.

422352542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9176 (or 9161 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 33.

Adding to 422352542400 its reverse (4245253224), we get a palindrome (426597795624).

The spelling of 422352542400 in words is "four hundred twenty-two billion, three hundred fifty-two million, five hundred forty-two thousand, four hundred".