42506625110400 has 432 divisors, whose sum is σ = 166715381212380. Its totient is φ = 10304635545600.

The previous prime is 42506625110387. The next prime is 42506625110401. The reversal of 42506625110400 is 401152660524.

42506625110400 is a `hidden beast` number, since 4 + 2 + 506 + 62 + 51 + 1 + 0 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42506625110401) by changing a digit.

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 53 ways as a sum of consecutive naturals, for example, 2614062 + ... + 9583661.

Almost surely, 2^{42506625110400} is an apocalyptic number.

42506625110400 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 42506625110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83357690606190).

42506625110400 is an abundant number, since it is smaller than the sum of its proper divisors (124208756101980).

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

42506625110400 is a wasteful number, since it uses less digits than its factorization.

42506625110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12197775 (or 12197744 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 42506625110400 its reverse (401152660524), we get a palindrome (42907777770924).

The spelling of 42506625110400 in words is "forty-two trillion, five hundred six billion, six hundred twenty-five million, one hundred ten thousand, four hundred".