8039642742144 has 384 divisors, whose sum is σ = 25234867213920. Its totient is φ = 2441977528320.

The previous prime is 8039642742137. The next prime is 8039642742161. The reversal of 8039642742144 is 4412472469308.

8039642742144 is a `hidden beast` number, since 8 + 0 + 39 + 6 + 427 + 42 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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, 2626474374 + ... + 2626477434.

Almost surely, 2^{8039642742144} 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 8039642742144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12617433606960).

8039642742144 is an abundant number, since it is smaller than the sum of its proper divisors (17195224471776).

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

8039642742144 is a wasteful number, since it uses less digits than its factorization.

8039642742144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5290 (or 5275 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 8039642742144 in words is "eight trillion, thirty-nine billion, six hundred forty-two million, seven hundred forty-two thousand, one hundred forty-four".