42440406806448 has 720 divisors, whose sum is σ = 150305703256800. Its totient is φ = 11108099358720.

The previous prime is 42440406806431. The next prime is 42440406806503. The reversal of 42440406806448 is 84460860404424.

42440406806448 is a `hidden beast` number, since 4 + 2 + 440 + 40 + 68 + 0 + 64 + 48 = 666.

It is a super-2 number, since 2×42440406806448² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42440406806394 and 42440406806403.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 621084348 + ... + 621152676.

It is an arithmetic number, because the mean of its divisors is an integer number (208757921190).

Almost surely, 2^{42440406806448} is an apocalyptic number.

42440406806448 is a gapful number since it is divisible by the number (48) 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 42440406806448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75152851628400).

42440406806448 is an abundant number, since it is smaller than the sum of its proper divisors (107865296450352).

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

42440406806448 is a wasteful number, since it uses less digits than its factorization.

42440406806448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68530 (or 68514 counting only the distinct ones).

The product of its (nonzero) digits is 18874368, while the sum is 54.

The spelling of 42440406806448 in words is "forty-two trillion, four hundred forty billion, four hundred six million, eight hundred six thousand, four hundred forty-eight".