42828621696 has 1344 divisors, whose sum is σ = 171576954000. Its totient is φ = 10534551552.

The previous prime is 42828621617. The next prime is 42828621727. The reversal of 42828621696 is 69612682824.

42828621696 is a `hidden beast` number, since 4 + 2 + 8 + 2 + 8 + 621 + 6 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 167 ways as a sum of consecutive naturals, for example, 1476849010 + ... + 1476849038.

Almost surely, 2^42828621696 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 42828621696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85788477000).

42828621696 is an abundant number, since it is smaller than the sum of its proper divisors (128748332304).

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

42828621696 is a wasteful number, since it uses less digits than its factorization.

42828621696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 77 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 42828621696 in words is "forty-two billion, eight hundred twenty-eight million, six hundred twenty-one thousand, six hundred ninety-six".