42236402265200 has 480 divisors, whose sum is σ = 123169707300864. Its totient is φ = 13707532800000.

The previous prime is 42236402265173. The next prime is 42236402265259. The reversal of 42236402265200 is 256220463224.

42236402265200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42236402265200² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2076407030 + ... + 2076427370.

Almost surely, 2^{42236402265200} is an apocalyptic number.

42236402265200 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 42236402265200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61584853650432).

42236402265200 is an abundant number, since it is smaller than the sum of its proper divisors (80933305035664).

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

42236402265200 is a wasteful number, since it uses less digits than its factorization.

42236402265200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21585 (or 21574 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 38.

The spelling of 42236402265200 in words is "forty-two trillion, two hundred thirty-six billion, four hundred two million, two hundred sixty-five thousand, two hundred".