8442290283840 has 672 divisors, whose sum is σ = 35170804212480. Its totient is φ = 1867406192640.

The previous prime is 8442290283803. The next prime is 8442290283857. The reversal of 8442290283840 is 483820922448.

8442290283840 is a `hidden beast` number, since 84 + 422 + 90 + 28 + 38 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58048654 + ... + 58193906.

Almost surely, 2^{8442290283840} is an apocalyptic number.

8442290283840 is a gapful number since it is divisible by the number (80) 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 8442290283840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17585402106240).

8442290283840 is an abundant number, since it is smaller than the sum of its proper divisors (26728513928640).

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

8442290283840 is a wasteful number, since it uses less digits than its factorization.

8442290283840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145348 (or 145301 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 8442290283840 in words is "eight trillion, four hundred forty-two billion, two hundred ninety million, two hundred eighty-three thousand, eight hundred forty".