42364400446324 has 48 divisors (see below), whose sum is σ = 85986242375040. Its totient is φ = 18071770471040.

The previous prime is 42364400446283. The next prime is 42364400446327.

42364400446324 is nontrivially palindromic in base 10.

42364400446324 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 2×42364400446324² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42364400446327) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 394871419 + ... + 394978690.

It is an arithmetic number, because the mean of its divisors is an integer number (1791380049480).

Almost surely, 2^{42364400446324} is an apocalyptic number.

42364400446324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42364400446324 is an abundant number, since it is smaller than the sum of its proper divisors (43621841928716).

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

42364400446324 is a wasteful number, since it uses less digits than its factorization.

42364400446324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789850200 (or 789850198 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 46.

The spelling of 42364400446324 in words is "forty-two trillion, three hundred sixty-four billion, four hundred million, four hundred forty-six thousand, three hundred twenty-four".