42794476035840 has 1008 divisors, whose sum is σ = 157925783006208. Its totient is φ = 11100274089984.

The previous prime is 42794476035827. The next prime is 42794476035851. The reversal of 42794476035840 is 4853067449724.

42794476035840 is a `hidden beast` number, since 4 + 2 + 7 + 9 + 4 + 47 + 6 + 0 + 3 + 584 + 0 = 666.

It is a super-3 number, since 3×42794476035840³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7324055959 + ... + 7324061801.

It is an arithmetic number, because the mean of its divisors is an integer number (156672403776).

Almost surely, 2^{42794476035840} is an apocalyptic number.

42794476035840 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 42794476035840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78962891503104).

42794476035840 is an abundant number, since it is smaller than the sum of its proper divisors (115131306970368).

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

42794476035840 is an equidigital number, since it uses as much as digits as its factorization.

42794476035840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6096 (or 6067 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 63.

The spelling of 42794476035840 in words is "forty-two trillion, seven hundred ninety-four billion, four hundred seventy-six million, thirty-five thousand, eight hundred forty".