8413136142720 has 256 divisors, whose sum is σ = 27227521025280. Its totient is φ = 2209173626880.

The previous prime is 8413136142659. The next prime is 8413136142739. The reversal of 8413136142720 is 272416313148.

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 31 ways as a sum of consecutive naturals, for example, 382178434 + ... + 382200446.

It is an arithmetic number, because the mean of its divisors is an integer number (106357504005).

Almost surely, 2^{8413136142720} is an apocalyptic number.

8413136142720 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 8413136142720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13613760512640).

8413136142720 is an abundant number, since it is smaller than the sum of its proper divisors (18814384882560).

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

8413136142720 is a wasteful number, since it uses less digits than its factorization.

8413136142720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25073 (or 25061 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 8413136142720 in words is "eight trillion, four hundred thirteen billion, one hundred thirty-six million, one hundred forty-two thousand, seven hundred twenty".