42521045400 has 144 divisors (see below), whose sum is σ = 143169296400. Its totient is φ = 11309610240.

The previous prime is 42521045327. The next prime is 42521045407. The reversal of 42521045400 is 454012524.

42521045400 is a `hidden beast` number, since 4 + 2 + 5 + 210 + 45 + 400 = 666.

It is a super-2 number, since 2×42521045400² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42521045407) 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 35 ways as a sum of consecutive naturals, for example, 669837 + ... + 730563.

It is an arithmetic number, because the mean of its divisors is an integer number (994231225).

Almost surely, 2^42521045400 is an apocalyptic number.

42521045400 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 42521045400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71584648200).

42521045400 is an abundant number, since it is smaller than the sum of its proper divisors (100648251000).

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

42521045400 is a wasteful number, since it uses less digits than its factorization.

42521045400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61138 (or 61126 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 42521045400 its reverse (454012524), we get a palindrome (42975057924).

The spelling of 42521045400 in words is "forty-two billion, five hundred twenty-one million, forty-five thousand, four hundred".