42821804922624 has 1080 divisors, whose sum is σ = 160948818510480. Its totient is φ = 11223812210688.

The previous prime is 42821804922623. The next prime is 42821804922629. The reversal of 42821804922624 is 42622940812824.

42821804922624 is a `hidden beast` number, since 4 + 2 + 8 + 2 + 1 + 8 + 0 + 4 + 9 + 2 + 2 + 624 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42821804922623) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2153029672 + ... + 2153049560.

It is an arithmetic number, because the mean of its divisors is an integer number (149026683806).

Almost surely, 2^{42821804922624} 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 42821804922624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80474409255240).

42821804922624 is an abundant number, since it is smaller than the sum of its proper divisors (118127013587856).

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

42821804922624 is a wasteful number, since it uses less digits than its factorization.

42821804922624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20107 (or 20077 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 42821804922624 in words is "forty-two trillion, eight hundred twenty-one billion, eight hundred four million, nine hundred twenty-two thousand, six hundred twenty-four".