6445005431040 has 1296 divisors, whose sum is σ = 25978819426560. Its totient is φ = 1462636707840.

The previous prime is 6445005430999. The next prime is 6445005431041. The reversal of 6445005431040 is 401345005446.

6445005431040 is a `hidden beast` number, since 6 + 4 + 4 + 5 + 0 + 0 + 543 + 104 + 0 = 666.

It is a super-2 number, since 2×6445005431040² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6445005430986 and 6445005431004.

It is not an unprimeable number, because it can be changed into a prime (6445005431041) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4071386089 + ... + 4071387671.

It is an arithmetic number, because the mean of its divisors is an integer number (20045385360).

Almost surely, 2^{6445005431040} is an apocalyptic number.

6445005431040 is a gapful number since it is divisible by the number (60) 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 6445005431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12989409713280).

6445005431040 is an abundant number, since it is smaller than the sum of its proper divisors (19533813995520).

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

6445005431040 is a wasteful number, since it uses less digits than its factorization.

6445005431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748 (or 1712 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 6445005431040 in words is "six trillion, four hundred forty-five billion, five million, four hundred thirty-one thousand, forty".