8052418146240 has 448 divisors, whose sum is σ = 30655332664320. Its totient is φ = 1978050170880.

The previous prime is 8052418146197. The next prime is 8052418146329. The reversal of 8052418146240 is 426418142508.

8052418146240 is a `hidden beast` number, since 8 + 0 + 5 + 2 + 4 + 1 + 8 + 14 + 624 + 0 = 666.

It is a super-2 number, since 2×8052418146240² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54626235 + ... + 54773445.

It is an arithmetic number, because the mean of its divisors is an integer number (68427081840).

Almost surely, 2^{8052418146240} is an apocalyptic number.

8052418146240 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 8052418146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15327666332160).

8052418146240 is an abundant number, since it is smaller than the sum of its proper divisors (22602914518080).

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

8052418146240 is a wasteful number, since it uses less digits than its factorization.

8052418146240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147737 (or 147721 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 8052418146240 in words is "eight trillion, fifty-two billion, four hundred eighteen million, one hundred forty-six thousand, two hundred forty".