42455644655424 has 896 divisors, whose sum is σ = 155278287360000. Its totient is φ = 9879731896320.

The previous prime is 42455644655423. The next prime is 42455644655449.

42455644655424 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42455644655423) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2979545452 + ... + 2979559700.

It is an arithmetic number, because the mean of its divisors is an integer number (173301660000).

Almost surely, 2^{42455644655424} is an apocalyptic number.

42455644655424 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 42455644655424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77639143680000).

42455644655424 is an abundant number, since it is smaller than the sum of its proper divisors (112822642704576).

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

42455644655424 is a wasteful number, since it uses less digits than its factorization.

42455644655424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14751 (or 14741 counting only the distinct ones).

The product of its digits is 368640000, while the sum is 60.

The spelling of 42455644655424 in words is "forty-two trillion, four hundred fifty-five billion, six hundred forty-four million, six hundred fifty-five thousand, four hundred twenty-four".