4382251912080 has 480 divisors, whose sum is σ = 18100853042688. Its totient is φ = 927280742400.

The previous prime is 4382251912061. The next prime is 4382251912091. The reversal of 4382251912080 is 802191522834.

4382251912080 is a `hidden beast` number, since 4 + 3 + 8 + 2 + 2 + 519 + 120 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4807245 + ... + 5645715.

Almost surely, 2^{4382251912080} is an apocalyptic number.

4382251912080 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 4382251912080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9050426521344).

4382251912080 is an abundant number, since it is smaller than the sum of its proper divisors (13718601130608).

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

4382251912080 is a wasteful number, since it uses less digits than its factorization.

4382251912080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838575 (or 838566 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 4382251912080 in words is "four trillion, three hundred eighty-two billion, two hundred fifty-one million, nine hundred twelve thousand, eighty".