4325958010080 has 1536 divisors, whose sum is σ = 18604770508800. Its totient is φ = 916388315136.

The previous prime is 4325958010043. The next prime is 4325958010141. The reversal of 4325958010080 is 800108595234.

4325958010080 is a `hidden beast` number, since 4 + 3 + 2 + 59 + 580 + 10 + 0 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 16832521312 + ... + 16832521568.

It is an arithmetic number, because the mean of its divisors is an integer number (12112480800).

Almost surely, 2^{4325958010080} is an apocalyptic number.

4325958010080 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 4325958010080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9302385254400).

4325958010080 is an abundant number, since it is smaller than the sum of its proper divisors (14278812498720).

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

4325958010080 is a wasteful number, since it uses less digits than its factorization.

4325958010080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 4325958010080 in words is "four trillion, three hundred twenty-five billion, nine hundred fifty-eight million, ten thousand, eighty".