42520154400 has 216 divisors, whose sum is σ = 153424711440. Its totient is φ = 11074936320.

The previous prime is 42520154393. The next prime is 42520154407. The reversal of 42520154400 is 445102524.

42520154400 is a `hidden beast` number, since 4 + 2 + 5 + 201 + 54 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (42520154393) and next prime (42520154407).

It is not an unprimeable number, because it can be changed into a prime (42520154407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 240931 + ... + 378269.

It is an arithmetic number, because the mean of its divisors is an integer number (710299590).

Almost surely, 2^42520154400 is an apocalyptic number.

42520154400 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 42520154400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76712355720).

42520154400 is an abundant number, since it is smaller than the sum of its proper divisors (110904557040).

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

42520154400 is a wasteful number, since it uses less digits than its factorization.

42520154400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137408 (or 137392 counting only the distinct ones).

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

Adding to 42520154400 its reverse (445102524), we get a palindrome (42965256924).

The spelling of 42520154400 in words is "forty-two billion, five hundred twenty million, one hundred fifty-four thousand, four hundred".