42229764086400 has 1728 divisors, whose sum is σ = 175774280797440. Its totient is φ = 9563774976000.

The previous prime is 42229764086381. The next prime is 42229764086401. The reversal of 42229764086400 is 468046792224.

It is a happy number.

42229764086400 is a `hidden beast` number, since 4 + 2 + 229 + 7 + 6 + 4 + 0 + 8 + 6 + 400 = 666.

It is not an unprimeable number, because it can be changed into a prime (42229764086401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 8259290244 + ... + 8259295356.

Almost surely, 2^{42229764086400} is an apocalyptic number.

42229764086400 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 42229764086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87887140398720).

42229764086400 is an abundant number, since it is smaller than the sum of its proper divisors (133544516711040).

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

42229764086400 is a wasteful number, since it uses less digits than its factorization.

42229764086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5243 (or 5194 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 42229764086400 in words is "forty-two trillion, two hundred twenty-nine billion, seven hundred sixty-four million, eighty-six thousand, four hundred".