42810784240 has 160 divisors (see below), whose sum is σ = 117574189056. Its totient is φ = 14186327040.

The previous prime is 42810784207. The next prime is 42810784273. The reversal of 42810784240 is 4248701824.

It is an interprime number because it is at equal distance from previous prime (42810784207) and next prime (42810784273).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 42810784193 and 42810784202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24702414 + ... + 24704146.

Almost surely, 2^42810784240 is an apocalyptic number.

42810784240 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 42810784240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58787094528).

42810784240 is an abundant number, since it is smaller than the sum of its proper divisors (74763404816).

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

42810784240 is a wasteful number, since it uses less digits than its factorization.

42810784240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3207 (or 3201 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 40.

The spelling of 42810784240 in words is "forty-two billion, eight hundred ten million, seven hundred eighty-four thousand, two hundred forty".