4045062525952 has 528 divisors, whose sum is σ = 9980843006160. Its totient is φ = 1631424872448.

The previous prime is 4045062525947. The next prime is 4045062525961. The reversal of 4045062525952 is 2595252605404.

It can be written as a sum of positive squares in 8 ways, for example, as 612550414336 + 3432512111616 = 782656^2 + 1852704^2 .

It is a super-2 number, since 2×4045062525952² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a junction number, because it is equal to n+sod(n) for n = 4045062525896 and 4045062525905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12003152728 + ... + 12003153064.

Almost surely, 2^{4045062525952} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4045062525952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4990421503080).

4045062525952 is an abundant number, since it is smaller than the sum of its proper divisors (5935780480208).

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

4045062525952 is a wasteful number, since it uses less digits than its factorization.

4045062525952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 4320000, while the sum is 49.

The spelling of 4045062525952 in words is "four trillion, forty-five billion, sixty-two million, five hundred twenty-five thousand, nine hundred fifty-two".