8141337405720 has 192 divisors, whose sum is σ = 27095274835200. Its totient is φ = 2118921396480.

The previous prime is 8141337405713. The next prime is 8141337405749. The reversal of 8141337405720 is 275047331418.

8141337405720 is a `hidden beast` number, since 8 + 1 + 4 + 1 + 3 + 3 + 74 + 0 + 572 + 0 = 666.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20218755 + ... + 20617485.

It is an arithmetic number, because the mean of its divisors is an integer number (141121223100).

Almost surely, 2^{8141337405720} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8141337405720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13547637417600).

8141337405720 is an abundant number, since it is smaller than the sum of its proper divisors (18953937429480).

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

8141337405720 is a wasteful number, since it uses less digits than its factorization.

8141337405720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400110 (or 400103 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 8141337405720 in words is "eight trillion, one hundred forty-one billion, three hundred thirty-seven million, four hundred five thousand, seven hundred twenty".