42245466454224 has 640 divisors, whose sum is σ = 136865811456000. Its totient is φ = 12366266112000.

The previous prime is 42245466454181. The next prime is 42245466454229.

42245466454224 is a `hidden beast` number, since 4 + 2 + 24 + 54 + 6 + 6 + 4 + 542 + 24 = 666.

42245466454224 is nontrivially palindromic in base 10.

42245466454224 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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 (42245466454229) 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, 6548666199 + ... + 6548672649.

It is an arithmetic number, because the mean of its divisors is an integer number (213852830400).

Almost surely, 2^{42245466454224} is an apocalyptic number.

42245466454224 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 42245466454224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68432905728000).

42245466454224 is an abundant number, since it is smaller than the sum of its proper divisors (94620345001776).

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

42245466454224 is a wasteful number, since it uses less digits than its factorization.

42245466454224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6904 (or 6892 counting only the distinct ones).

The product of its digits is 58982400, while the sum is 54.

The spelling of 42245466454224 in words is "forty-two trillion, two hundred forty-five billion, four hundred sixty-six million, four hundred fifty-four thousand, two hundred twenty-four".