42086389248 has 240 divisors, whose sum is σ = 124354161360. Its totient is φ = 13697728512.

The previous prime is 42086389243. The next prime is 42086389283. The reversal of 42086389248 is 84298368024.

It is a junction number, because it is equal to n+sod(n) for n = 42086389194 and 42086389203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42086389243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95002915 + ... + 95003357.

It is an arithmetic number, because the mean of its divisors is an integer number (518142339).

Almost surely, 2^42086389248 is an apocalyptic number.

42086389248 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 42086389248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62177080680).

42086389248 is an abundant number, since it is smaller than the sum of its proper divisors (82267772112).

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

42086389248 is a wasteful number, since it uses less digits than its factorization.

42086389248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 42086389248 in words is "forty-two billion, eighty-six million, three hundred eighty-nine thousand, two hundred forty-eight".