42242044008240 has 240 divisors, whose sum is σ = 142124720400000. Its totient is φ = 11243771854848.

The previous prime is 42242044008233. The next prime is 42242044008361. The reversal of 42242044008240 is 4280044024224.

42242044008240 is a `hidden beast` number, since 4 + 2 + 2 + 4 + 2 + 0 + 4 + 400 + 8 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42242044008195 and 42242044008204.

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, 878572521 + ... + 878620599.

It is an arithmetic number, because the mean of its divisors is an integer number (592186335000).

Almost surely, 2^{42242044008240} is an apocalyptic number.

42242044008240 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 42242044008240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71062360200000).

42242044008240 is an abundant number, since it is smaller than the sum of its proper divisors (99882676391760).

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

42242044008240 is a wasteful number, since it uses less digits than its factorization.

42242044008240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50324 (or 50315 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

The spelling of 42242044008240 in words is "forty-two trillion, two hundred forty-two billion, forty-four million, eight thousand, two hundred forty".