422372405000 has 540 divisors, whose sum is σ = 1259017996995. Its totient is φ = 132350400000.

The previous prime is 422372404973. The next prime is 422372405009. The reversal of 422372405000 is 504273224.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 23 ways, for example, as 248304883204 + 174067521796 = 498302^2 + 417214^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=459550.

It is not an unprimeable number, because it can be changed into a prime (422372405009) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 4181904950 + ... + 4181905050.

Almost surely, 2^422372405000 is an apocalyptic number.

422372405000 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 422372405000

422372405000 is an abundant number, since it is smaller than the sum of its proper divisors (836645591995).

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

422372405000 is a wasteful number, since it uses less digits than its factorization.

422372405000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 29.

Adding to 422372405000 its reverse (504273224), we get a palindrome (422876678224).

The spelling of 422372405000 in words is "four hundred twenty-two billion, three hundred seventy-two million, four hundred five thousand".