42255799971840 has 936 divisors, whose sum is σ = 181260831566880. Its totient is φ = 8915463438336.

The previous prime is 42255799971797. The next prime is 42255799971841. The reversal of 42255799971840 is 4817999755224.

It is a happy number.

42255799971840 is a `hidden beast` number, since 4 + 2 + 2 + 5 + 579 + 9 + 9 + 7 + 1 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (936).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42255799971841) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 217953666 + ... + 218147454.

It is an arithmetic number, because the mean of its divisors is an integer number (193654734580).

Almost surely, 2^{42255799971840} is an apocalyptic number.

42255799971840 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 42255799971840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90630415783440).

42255799971840 is an abundant number, since it is smaller than the sum of its proper divisors (139005031595040).

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

42255799971840 is a wasteful number, since it uses less digits than its factorization.

42255799971840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193857 (or 193819 counting only the distinct ones).

The product of its (nonzero) digits is 457228800, while the sum is 72.

The spelling of 42255799971840 in words is "forty-two trillion, two hundred fifty-five billion, seven hundred ninety-nine million, nine hundred seventy-one thousand, eight hundred forty".