427152319425 has 768 divisors, whose sum is σ = 996236236800. Its totient is φ = 179338199040.

The previous prime is 427152319417. The next prime is 427152319441. The reversal of 427152319425 is 524913251724.

427152319425 is a `hidden beast` number, since 4 + 2 + 71 + 523 + 19 + 42 + 5 = 666.

It is not a de Polignac number, because 427152319425 - 2³ = 427152319417 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 767 ways as a sum of consecutive naturals, for example, 8059477699 + ... + 8059477751.

It is an arithmetic number, because the mean of its divisors is an integer number (1297182600).

Almost surely, 2^427152319425 is an apocalyptic number.

427152319425 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

427152319425 is an abundant number, since it is smaller than the sum of its proper divisors (569083917375).

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

427152319425 is a wasteful number, since it uses less digits than its factorization.

427152319425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 143 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The spelling of 427152319425 in words is "four hundred twenty-seven billion, one hundred fifty-two million, three hundred nineteen thousand, four hundred twenty-five".