7170442126848 has 2880 divisors, whose sum is σ = 30689337423360. Its totient is φ = 1608131543040.

The previous prime is 7170442126823. The next prime is 7170442126871. The reversal of 7170442126848 is 8486212440717.

It is a happy number.

7170442126848 is a `hidden beast` number, since 7 + 1 + 70 + 442 + 126 + 8 + 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 = 7170442126794 and 7170442126803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 43990442415 + ... + 43990442577.

Almost surely, 2^{7170442126848} is an apocalyptic number.

7170442126848 is a gapful number since it is divisible by the number (78) 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 7170442126848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15344668711680).

7170442126848 is an abundant number, since it is smaller than the sum of its proper divisors (23518895296512).

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

7170442126848 is a wasteful number, since it uses less digits than its factorization.

7170442126848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 7170442126848 in words is "seven trillion, one hundred seventy billion, four hundred forty-two million, one hundred twenty-six thousand, eight hundred forty-eight".