422104532400 has 120 divisors (see below), whose sum is σ = 1502379503760. Its totient is φ = 112561205760.

The previous prime is 422104532371. The next prime is 422104532417. The reversal of 422104532400 is 4235401224.

422104532400 is a `hidden beast` number, since 4 + 2 + 210 + 45 + 3 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19531077 + ... + 19552676.

It is an arithmetic number, because the mean of its divisors is an integer number (12519829198).

Almost surely, 2^422104532400 is an apocalyptic number.

422104532400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

422104532400 is an abundant number, since it is smaller than the sum of its proper divisors (1080274971360).

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

422104532400 is a wasteful number, since it uses less digits than its factorization.

422104532400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39083780 (or 39083763 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 422104532400 its reverse (4235401224), we get a palindrome (426339933624).

The spelling of 422104532400 in words is "four hundred twenty-two billion, one hundred four million, five hundred thirty-two thousand, four hundred".