8022061440 has 384 divisors, whose sum is σ = 30436473600. Its totient is φ = 1937903616.

The previous prime is 8022061409. The next prime is 8022061457. The reversal of 8022061440 is 441602208.

8022061440 is a `hidden beast` number, since 8 + 0 + 2 + 2 + 0 + 614 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2515527 + ... + 2518713.

It is an arithmetic number, because the mean of its divisors is an integer number (79261650).

Almost surely, 2^8022061440 is an apocalyptic number.

8022061440 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 8022061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15218236800).

8022061440 is an abundant number, since it is smaller than the sum of its proper divisors (22414412160).

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

8022061440 is a wasteful number, since it uses less digits than its factorization.

8022061440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3254 (or 3239 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 8022061440 is about 89565.9613915912. The cubic root of 8022061440 is about 2001.8367659623.

Adding to 8022061440 its reverse (441602208), we get a palindrome (8463663648).

The spelling of 8022061440 in words is "eight billion, twenty-two million, sixty-one thousand, four hundred forty".