1022225400405 has 96 divisors (see below), whose sum is σ = 2016188496000. Its totient is φ = 490991592960.

The previous prime is 1022225400403. The next prime is 1022225400451. The reversal of 1022225400405 is 5040045222201.

1022225400405 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 2 + 254 + 0 + 0 + 405 = 666.

It is not a de Polignac number, because 1022225400405 - 2¹ = 1022225400403 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022225400403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1455421 + ... + 2040269.

It is an arithmetic number, because the mean of its divisors is an integer number (21001963500).

Almost surely, 2^{1022225400405} is an apocalyptic number.

1022225400405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1022225400405 is a deficient number, since it is larger than the sum of its proper divisors (993963095595).

1022225400405 is a wasteful number, since it uses less digits than its factorization.

1022225400405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584992 (or 584975 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The spelling of 1022225400405 in words is "one trillion, twenty-two billion, two hundred twenty-five million, four hundred thousand, four hundred five".