425119349191680 has 4224 divisors, whose sum is σ = 1838170229575680. Its totient is φ = 89436192768000.

The previous prime is 425119349191643. The next prime is 425119349191681. The reversal of 425119349191680 is 86191943911524.

425119349191680 is a `hidden beast` number, since 4 + 2 + 5 + 119 + 349 + 19 + 168 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a super-2 number, since 2×425119349191680² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425119349191681) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1358208783204 + ... + 1358208783516.

It is an arithmetic number, because the mean of its divisors is an integer number (435172876320).

Almost surely, 2^{425119349191680} is an apocalyptic number.

425119349191680 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 425119349191680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919085114787840).

425119349191680 is an abundant number, since it is smaller than the sum of its proper divisors (1413050880384000).

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

425119349191680 is a wasteful number, since it uses less digits than its factorization.

425119349191680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 63.

The spelling of 425119349191680 in words is "four hundred twenty-five trillion, one hundred nineteen billion, three hundred forty-nine million, one hundred ninety-one thousand, six hundred eighty".