42363206624200 has 192 divisors, whose sum is σ = 122814975052800. Its totient is φ = 13202321414400.

The previous prime is 42363206624191. The next prime is 42363206624203. The reversal of 42363206624200 is 242660236324.

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

It is not an unprimeable number, because it can be changed into a prime (42363206624203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115424581 + ... + 115791019.

It is an arithmetic number, because the mean of its divisors is an integer number (639661328400).

Almost surely, 2^{42363206624200} is an apocalyptic number.

42363206624200 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 42363206624200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61407487526400).

42363206624200 is an abundant number, since it is smaller than the sum of its proper divisors (80451768428600).

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

42363206624200 is a wasteful number, since it uses less digits than its factorization.

42363206624200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373980 (or 373971 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 40.

The spelling of 42363206624200 in words is "forty-two trillion, three hundred sixty-three billion, two hundred six million, six hundred twenty-four thousand, two hundred".