42200767356 has 192 divisors, whose sum is σ = 116121600000. Its totient is φ = 11795097600.

The previous prime is 42200767351. The next prime is 42200767393. The reversal of 42200767356 is 65376700224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42200767351) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33787020 + ... + 33788268.

It is an arithmetic number, because the mean of its divisors is an integer number (604800000).

Almost surely, 2^42200767356 is an apocalyptic number.

42200767356 is a gapful number since it is divisible by the number (46) 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 42200767356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58060800000).

42200767356 is an abundant number, since it is smaller than the sum of its proper divisors (73920832644).

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

42200767356 is a wasteful number, since it uses less digits than its factorization.

42200767356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The spelling of 42200767356 in words is "forty-two billion, two hundred million, seven hundred sixty-seven thousand, three hundred fifty-six".