42136506636400 has 240 divisors, whose sum is σ = 116259088584960. Its totient is φ = 14514587596800.

The previous prime is 42136506636383. The next prime is 42136506636403. The reversal of 42136506636400 is 463660563124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42136506636403) 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 47 ways as a sum of consecutive naturals, for example, 1442670597 + ... + 1442699803.

It is an arithmetic number, because the mean of its divisors is an integer number (484412869104).

Almost surely, 2^{42136506636400} is an apocalyptic number.

42136506636400 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 42136506636400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58129544292480).

42136506636400 is an abundant number, since it is smaller than the sum of its proper divisors (74122581948560).

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

42136506636400 is a wasteful number, since it uses less digits than its factorization.

42136506636400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46512 (or 46501 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 46.

The spelling of 42136506636400 in words is "forty-two trillion, one hundred thirty-six billion, five hundred six million, six hundred thirty-six thousand, four hundred".