42286003328448 has 420 divisors, whose sum is σ = 137990057929416. Its totient is φ = 12794429260800.

The previous prime is 42286003328441. The next prime is 42286003328467. The reversal of 42286003328448 is 84482330068224.

42286003328448 is a `hidden beast` number, since 4 + 2 + 2 + 8 + 600 + 3 + 3 + 28 + 4 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 42286003328394 and 42286003328403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42286003328441) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 414570511 + ... + 414672497.

Almost surely, 2^{42286003328448} is an apocalyptic number.

42286003328448 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 42286003328448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68995028964708).

42286003328448 is an abundant number, since it is smaller than the sum of its proper divisors (95704054600968).

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

42286003328448 is a wasteful number, since it uses less digits than its factorization.

42286003328448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102694 (or 102664 counting only the distinct ones).

The product of its (nonzero) digits is 14155776, while the sum is 54.

The spelling of 42286003328448 in words is "forty-two trillion, two hundred eighty-six billion, three million, three hundred twenty-eight thousand, four hundred forty-eight".