42641857862784 has 640 divisors, whose sum is σ = 131740925057280. Its totient is φ = 13682358466560.

The previous prime is 42641857862761. The next prime is 42641857862789. The reversal of 42641857862784 is 48726875814624.

42641857862784 is a `hidden beast` number, since 4 + 2 + 6 + 41 + 8 + 578 + 6 + 2 + 7 + 8 + 4 = 666.

It is a super-3 number, since 3×42641857862784³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (42641857862789) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18168664299 + ... + 18168666645.

It is an arithmetic number, because the mean of its divisors is an integer number (205845195402).

Almost surely, 2^{42641857862784} 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 42641857862784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65870462528640).

42641857862784 is an abundant number, since it is smaller than the sum of its proper divisors (89099067194496).

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

42641857862784 is a wasteful number, since it uses less digits than its factorization.

42641857862784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2990 (or 2969 counting only the distinct ones).

The product of its digits is 1156055040, while the sum is 72.

The spelling of 42641857862784 in words is "forty-two trillion, six hundred forty-one billion, eight hundred fifty-seven million, eight hundred sixty-two thousand, seven hundred eighty-four".