4245124451040 has 960 divisors, whose sum is σ = 16953064128000. Its totient is φ = 990946897920.

The previous prime is 4245124450967. The next prime is 4245124451047. The reversal of 4245124451040 is 401544215424.

4245124451040 is a `hidden beast` number, since 4 + 2 + 45 + 124 + 451 + 0 + 40 = 666.

It is a super-3 number, since 3×4245124451040³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 4245124450986 and 4245124451004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4245124451047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1814930191 + ... + 1814932529.

It is an arithmetic number, because the mean of its divisors is an integer number (17659441800).

Almost surely, 2^{4245124451040} is an apocalyptic number.

4245124451040 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 4245124451040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8476532064000).

4245124451040 is an abundant number, since it is smaller than the sum of its proper divisors (12707939676960).

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

4245124451040 is a wasteful number, since it uses less digits than its factorization.

4245124451040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2845 (or 2828 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

Adding to 4245124451040 its reverse (401544215424), we get a palindrome (4646668666464).

The spelling of 4245124451040 in words is "four trillion, two hundred forty-five billion, one hundred twenty-four million, four hundred fifty-one thousand, forty".