425092960880640 has 6144 divisors, whose sum is σ = 1865861996544000. Its totient is φ = 91947285872640.

The previous prime is 425092960880639. The next prime is 425092960880647. The reversal of 425092960880640 is 46088069290524.

425092960880640 is a `hidden beast` number, since 4 + 2 + 509 + 2 + 9 + 6 + 0 + 8 + 80 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (6144).

It is not an unprimeable number, because it can be changed into a prime (425092960880647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 6344671057887 + ... + 6344671057953.

It is an arithmetic number, because the mean of its divisors is an integer number (303688476000).

Almost surely, 2^{425092960880640} is an apocalyptic number.

425092960880640 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 425092960880640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932930998272000).

425092960880640 is an abundant number, since it is smaller than the sum of its proper divisors (1440769035663360).

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

425092960880640 is a wasteful number, since it uses less digits than its factorization.

425092960880640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 425092960880640 in words is "four hundred twenty-five trillion, ninety-two billion, nine hundred sixty million, eight hundred eighty thousand, six hundred forty".