42841049040 has 400 divisors, whose sum is σ = 153616953600. Its totient is φ = 11059835904.

The previous prime is 42841049039. The next prime is 42841049059. The reversal of 42841049040 is 4094014824.

42841049040 is a `hidden beast` number, since 42 + 84 + 10 + 490 + 40 = 666.

42841049040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 42841048986 and 42841049004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27130971 + ... + 27132549.

It is an arithmetic number, because the mean of its divisors is an integer number (384042384).

Almost surely, 2^42841049040 is an apocalyptic number.

42841049040 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 42841049040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76808476800).

42841049040 is an abundant number, since it is smaller than the sum of its proper divisors (110775904560).

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

42841049040 is a wasteful number, since it uses less digits than its factorization.

42841049040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1736 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 42841049040 in words is "forty-two billion, eight hundred forty-one million, forty-nine thousand, forty".