42718371840000 has 2040 divisors, whose sum is σ = 168486989029920. Its totient is φ = 10691149824000.

The previous prime is 42718371839989. The next prime is 42718371840031. The reversal of 42718371840000 is 4817381724.

42718371840000 is a `hidden beast` number, since 4 + 271 + 8 + 371 + 8 + 4 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 399237119947 + ... + 399237120053.

Almost surely, 2^{42718371840000} is an apocalyptic number.

42718371840000 is a gapful number since it is divisible by the number (40) 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 42718371840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84243494514960).

42718371840000 is an abundant number, since it is smaller than the sum of its proper divisors (125768617189920).

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

42718371840000 is an frugal number, since it uses more digits than its factorization.

42718371840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 42718371840000 in words is "forty-two trillion, seven hundred eighteen billion, three hundred seventy-one million, eight hundred forty thousand".