451040042345526 has 128 divisors (see below), whose sum is σ = 1016808477696000. Its totient is φ = 148175245202688.

The previous prime is 451040042345297. The next prime is 451040042345539. The reversal of 451040042345526 is 625543240040154.

It is a happy number.

451040042345526 is a `hidden beast` number, since 4 + 5 + 1 + 0 + 40 + 0 + 42 + 3 + 45 + 526 = 666.

It is a super-3 number, since 3×451040042345526³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42716165035 + ... + 42716175593.

It is an arithmetic number, because the mean of its divisors is an integer number (7943816232000).

Almost surely, 2^{451040042345526} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451040042345526, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508404238848000).

451040042345526 is an abundant number, since it is smaller than the sum of its proper divisors (565768435350474).

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

451040042345526 is a wasteful number, since it uses less digits than its factorization.

451040042345526 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17795 (or 17789 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

The spelling of 451040042345526 in words is "four hundred fifty-one trillion, forty billion, forty-two million, three hundred forty-five thousand, five hundred twenty-six".