42059366400 has 408 divisors, whose sum is σ = 143024675200. Its totient is φ = 10899947520.

The previous prime is 42059366399. The next prime is 42059366407. The reversal of 42059366400 is 466395024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42059366407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211353501 + ... + 211353699.

Almost surely, 2^42059366400 is an apocalyptic number.

42059366400 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 42059366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71512337600).

42059366400 is an abundant number, since it is smaller than the sum of its proper divisors (100965308800).

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

42059366400 is an equidigital number, since it uses as much as digits as its factorization.

42059366400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 42059366400 in words is "forty-two billion, fifty-nine million, three hundred sixty-six thousand, four hundred".