42655477455624 has 128 divisors (see below), whose sum is σ = 117966060979200. Its totient is φ = 12745076424960.

The previous prime is 42655477455607. The next prime is 42655477455629.

42655477455624 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (42655477455629) 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 31 ways as a sum of consecutive naturals, for example, 9240957 + ... + 13065459.

It is an arithmetic number, because the mean of its divisors is an integer number (921609851400).

Almost surely, 2^{42655477455624} is an apocalyptic number.

42655477455624 is a gapful number since it is divisible by the number (44) 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 42655477455624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58983030489600).

42655477455624 is an abundant number, since it is smaller than the sum of its proper divisors (75310583523576).

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

42655477455624 is a wasteful number, since it uses less digits than its factorization.

42655477455624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3825115 (or 3825111 counting only the distinct ones).

The product of its digits is 1128960000, while the sum is 66.

The spelling of 42655477455624 in words is "forty-two trillion, six hundred fifty-five billion, four hundred seventy-seven million, four hundred fifty-five thousand, six hundred twenty-four".