42827078448 has 240 divisors, whose sum is σ = 151538729472. Its totient is φ = 10967040000.

The previous prime is 42827078353. The next prime is 42827078471. The reversal of 42827078448 is 84487072824.

42827078448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42827078448² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42827078394 and 42827078403.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 760048 + ... + 814448.

Almost surely, 2^42827078448 is an apocalyptic number.

42827078448 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 42827078448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75769364736).

42827078448 is an abundant number, since it is smaller than the sum of its proper divisors (108711651024).

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

42827078448 is a wasteful number, since it uses less digits than its factorization.

42827078448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54504 (or 54495 counting only the distinct ones).

The product of its (nonzero) digits is 6422528, while the sum is 54.

The spelling of 42827078448 in words is "forty-two billion, eight hundred twenty-seven million, seventy-eight thousand, four hundred forty-eight".