8381141616240 has 120 divisors (see below), whose sum is σ = 28409720487408. Its totient is φ = 2214083496960.

The previous prime is 8381141616173. The next prime is 8381141616257. The reversal of 8381141616240 is 426161411838.

8381141616240 is a `hidden beast` number, since 8 + 3 + 8 + 1 + 1 + 4 + 1 + 616 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 54317701 + ... + 54471780.

Almost surely, 2^{8381141616240} is an apocalyptic number.

8381141616240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8381141616240 is an abundant number, since it is smaller than the sum of its proper divisors (20028578871168).

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

8381141616240 is a wasteful number, since it uses less digits than its factorization.

8381141616240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108789607 (or 108789598 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 8381141616240 in words is "eight trillion, three hundred eighty-one billion, one hundred forty-one million, six hundred sixteen thousand, two hundred forty".