42626242046200 has 96 divisors (see below), whose sum is σ = 99734353200000. Its totient is φ = 16942437912960.

The previous prime is 42626242046147. The next prime is 42626242046221. The reversal of 42626242046200 is 264024262624.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162836619 + ... + 163098181.

It is an arithmetic number, because the mean of its divisors is an integer number (1038899512500).

Almost surely, 2^{42626242046200} is an apocalyptic number.

42626242046200 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 42626242046200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49867176600000).

42626242046200 is an abundant number, since it is smaller than the sum of its proper divisors (57108111153800).

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

42626242046200 is a wasteful number, since it uses less digits than its factorization.

42626242046200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266741 (or 266732 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 40.

The spelling of 42626242046200 in words is "forty-two trillion, six hundred twenty-six billion, two hundred forty-two million, forty-six thousand, two hundred".