42363033036324 has 288 divisors, whose sum is σ = 133807384343808. Its totient is φ = 10150576128000.

The previous prime is 42363033036223. The next prime is 42363033036347.

42363033036324 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 211443204 + ... + 211643460.

It is an arithmetic number, because the mean of its divisors is an integer number (464608973416).

Almost surely, 2^{42363033036324} is an apocalyptic number.

42363033036324 is a gapful number since it is divisible by the number (44) 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 42363033036324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66903692171904).

42363033036324 is an abundant number, since it is smaller than the sum of its proper divisors (91444351307484).

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

42363033036324 is a wasteful number, since it uses less digits than its factorization.

42363033036324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201907 (or 201894 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 42.

The spelling of 42363033036324 in words is "forty-two trillion, three hundred sixty-three billion, thirty-three million, thirty-six thousand, three hundred twenty-four".