42766214400 has 1296 divisors, whose sum is σ = 193741766400. Its totient is φ = 8758886400.

The previous prime is 42766214389. The next prime is 42766214417. The reversal of 42766214400 is 441266724.

42766214400 is a `hidden beast` number, since 4 + 27 + 6 + 621 + 4 + 4 + 0 + 0 = 666.

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

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 214905501 + ... + 214905699.

Almost surely, 2^42766214400 is an apocalyptic number.

42766214400 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 42766214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96870883200).

42766214400 is an abundant number, since it is smaller than the sum of its proper divisors (150975552000).

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

42766214400 is a wasteful number, since it uses less digits than its factorization.

42766214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 42766214400 in words is "forty-two billion, seven hundred sixty-six million, two hundred fourteen thousand, four hundred".