42776066531200 has 384 divisors, whose sum is σ = 108893649110400. Its totient is φ = 16597361664000.

The previous prime is 42776066531197. The next prime is 42776066531207. The reversal of 42776066531200 is 213566067724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42776066531207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5854117947 + ... + 5854125253.

It is an arithmetic number, because the mean of its divisors is an integer number (283577211225).

Almost surely, 2^{42776066531200} is an apocalyptic number.

42776066531200 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 42776066531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54446824555200).

42776066531200 is an abundant number, since it is smaller than the sum of its proper divisors (66117582579200).

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

42776066531200 is a wasteful number, since it uses less digits than its factorization.

42776066531200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7798 (or 7781 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 49.

The spelling of 42776066531200 in words is "forty-two trillion, seven hundred seventy-six billion, sixty-six million, five hundred thirty-one thousand, two hundred".