42131426400 has 1152 divisors, whose sum is σ = 189797852160. Its totient is φ = 8798699520.

The previous prime is 42131426333. The next prime is 42131426431. The reversal of 42131426400 is 462413124.

It is a happy number.

42131426400 is a `hidden beast` number, since 4 + 2 + 1 + 3 + 14 + 2 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 191 ways as a sum of consecutive naturals, for example, 95104579 + ... + 95105021.

It is an arithmetic number, because the mean of its divisors is an integer number (164755080).

Almost surely, 2^42131426400 is an apocalyptic number.

42131426400 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 42131426400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94898926080).

42131426400 is an abundant number, since it is smaller than the sum of its proper divisors (147666425760).

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

42131426400 is a wasteful number, since it uses less digits than its factorization.

42131426400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 42131426400 its reverse (462413124), we get a palindrome (42593839524).

The spelling of 42131426400 in words is "forty-two billion, one hundred thirty-one million, four hundred twenty-six thousand, four hundred".