42543446400 has 1152 divisors, whose sum is σ = 195301562400. Its totient is φ = 8964587520.

The previous prime is 42543446371. The next prime is 42543446411. The reversal of 42543446400 is 464434524.

42543446400 is a `hidden beast` number, since 4 + 2 + 5 + 4 + 3 + 4 + 4 + 640 + 0 = 666.

42543446400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 55036414 + ... + 55037186.

Almost surely, 2^42543446400 is an apocalyptic number.

42543446400 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 42543446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97650781200).

42543446400 is an abundant number, since it is smaller than the sum of its proper divisors (152758116000).

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

42543446400 is a wasteful number, since it uses less digits than its factorization.

42543446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

The spelling of 42543446400 in words is "forty-two billion, five hundred forty-three million, four hundred forty-six thousand, four hundred".