8261842911840 has 480 divisors, whose sum is σ = 35282935727424. Its totient is φ = 1777337303040.

The previous prime is 8261842911727. The next prime is 8261842911869. The reversal of 8261842911840 is 481192481628.

8261842911840 is a `hidden beast` number, since 8 + 2 + 61 + 8 + 429 + 118 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1136281 + ... + 4220760.

Almost surely, 2^{8261842911840} is an apocalyptic number.

8261842911840 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 8261842911840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17641467863712).

8261842911840 is an abundant number, since it is smaller than the sum of its proper divisors (27021092815584).

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

8261842911840 is a wasteful number, since it uses less digits than its factorization.

8261842911840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5357092 (or 5357075 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 8261842911840 in words is "eight trillion, two hundred sixty-one billion, eight hundred forty-two million, nine hundred eleven thousand, eight hundred forty".