8042253972480 has 2112 divisors, whose sum is σ = 35834997639168. Its totient is φ = 1684094976000.

The previous prime is 8042253972461. The next prime is 8042253972491. The reversal of 8042253972480 is 842793522408.

8042253972480 is a `hidden beast` number, since 8 + 0 + 4 + 2 + 2 + 5 + 397 + 248 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28417858419 + ... + 28417858701.

Almost surely, 2^{8042253972480} is an apocalyptic number.

8042253972480 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 8042253972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17917498819584).

8042253972480 is an abundant number, since it is smaller than the sum of its proper divisors (27792743666688).

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

8042253972480 is a wasteful number, since it uses less digits than its factorization.

8042253972480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 8042253972480 in words is "eight trillion, forty-two billion, two hundred fifty-three million, nine hundred seventy-two thousand, four hundred eighty".