42942182400 has 1056 divisors, whose sum is σ = 174836726400. Its totient is φ = 10391224320.

The previous prime is 42942182347. The next prime is 42942182417. The reversal of 42942182400 is 428124924.

42942182400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 727833571 + ... + 727833629.

Almost surely, 2^42942182400 is an apocalyptic number.

42942182400 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 42942182400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87418363200).

42942182400 is an abundant number, since it is smaller than the sum of its proper divisors (131894544000).

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

42942182400 is an equidigital number, since it uses as much as digits as its factorization.

42942182400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 42942182400 in words is "forty-two billion, nine hundred forty-two million, one hundred eighty-two thousand, four hundred".