4225611377295 has 480 divisors, whose sum is σ = 10560541432320. Its totient is φ = 1565745500160.

The previous prime is 4225611377291. The next prime is 4225611377297. The reversal of 4225611377295 is 5927731165224.

4225611377295 is a `hidden beast` number, since 4 + 2 + 2 + 561 + 1 + 3 + 7 + 72 + 9 + 5 = 666.

It is not a de Polignac number, because 4225611377295 - 2² = 4225611377291 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4225611377291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 171224497 + ... + 171249173.

It is an arithmetic number, because the mean of its divisors is an integer number (22001127984).

Almost surely, 2^{4225611377295} is an apocalyptic number.

4225611377295 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4225611377295 is an abundant number, since it is smaller than the sum of its proper divisors (6334930055025).

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

4225611377295 is a wasteful number, since it uses less digits than its factorization.

4225611377295 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24765 (or 24739 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The spelling of 4225611377295 in words is "four trillion, two hundred twenty-five billion, six hundred eleven million, three hundred seventy-seven thousand, two hundred ninety-five".