425109288960 has 384 divisors, whose sum is σ = 1530337536000. Its totient is φ = 111921758208.

The previous prime is 425109288959. The next prime is 425109288997. The reversal of 425109288960 is 69882901524.

It is a happy number.

425109288960 is a `hidden beast` number, since 42 + 510 + 9 + 2 + 8 + 89 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 425109288897 and 425109288906.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 21832189 + ... + 21851651.

It is an arithmetic number, because the mean of its divisors is an integer number (3985254000).

Almost surely, 2^425109288960 is an apocalyptic number.

425109288960 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 425109288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765168768000).

425109288960 is an abundant number, since it is smaller than the sum of its proper divisors (1105228247040).

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

425109288960 is a wasteful number, since it uses less digits than its factorization.

425109288960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19578 (or 19552 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 425109288960 in words is "four hundred twenty-five billion, one hundred nine million, two hundred eighty-eight thousand, nine hundred sixty".