4425788160 has 648 divisors, whose sum is σ = 17379363456. Its totient is φ = 1074954240.

The previous prime is 4425788141. The next prime is 4425788207. The reversal of 4425788160 is 618875244.

4425788160 is a `hidden beast` number, since 442 + 5 + 78 + 81 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

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 71 ways as a sum of consecutive naturals, for example, 142767345 + ... + 142767375.

Almost surely, 2^4425788160 is an apocalyptic number.

4425788160 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 4425788160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8689681728).

4425788160 is an abundant number, since it is smaller than the sum of its proper divisors (12953575296).

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

4425788160 is an frugal number, since it uses more digits than its factorization.

4425788160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 4425788160 is about 66526.5973878117. The cubic root of 4425788160 is about 1641.8376387278.

The spelling of 4425788160 in words is "four billion, four hundred twenty-five million, seven hundred eighty-eight thousand, one hundred sixty".