42777058628224 has 64 divisors (see below), whose sum is σ = 85676948721000. Its totient is φ = 21274009731072.

The previous prime is 42777058628207. The next prime is 42777058628237. The reversal of 42777058628224 is 42282685077724.

It can be written as a sum of positive squares in 4 ways, for example, as 42726721218624 + 50337409600 = 6536568^2 + 224360^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28852632 + ... + 30298984.

Almost surely, 2^{42777058628224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42777058628224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42838474360500).

42777058628224 is an abundant number, since it is smaller than the sum of its proper divisors (42899890092776).

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

42777058628224 is a wasteful number, since it uses less digits than its factorization.

42777058628224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1447605 (or 1447593 counting only the distinct ones).

The product of its (nonzero) digits is 168591360, while the sum is 64.

The spelling of 42777058628224 in words is "forty-two trillion, seven hundred seventy-seven billion, fifty-eight million, six hundred twenty-eight thousand, two hundred twenty-four".