4388109240960 has 224 divisors, whose sum is σ = 15728292144180. Its totient is φ = 1170162339840.

The previous prime is 4388109240899. The next prime is 4388109241003. The reversal of 4388109240960 is 690429018834.

4388109240960 is a `hidden beast` number, since 4 + 3 + 88 + 10 + 92 + 409 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4270306526784 + 117802714176 = 2066472^2 + 343224^2 .

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 = 4388109240897 and 4388109240906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4236061 + ... + 5169180.

Almost surely, 2^{4388109240960} is an apocalyptic number.

4388109240960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4388109240960 is an abundant number, since it is smaller than the sum of its proper divisors (11340182903220).

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

4388109240960 is an frugal number, since it uses more digits than its factorization.

4388109240960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9405278 (or 9405251 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 4388109240960 in words is "four trillion, three hundred eighty-eight billion, one hundred nine million, two hundred forty thousand, nine hundred sixty".