42781163040 has 1152 divisors, whose sum is σ = 200222668800. Its totient is φ = 8413009920.

The previous prime is 42781162999. The next prime is 42781163071. The reversal of 42781163040 is 4036118724.

42781163040 is a `hidden beast` number, since 4 + 2 + 7 + 8 + 11 + 630 + 4 + 0 = 666.

It is a super-2 number, since 2×42781163040² (a number of 22 digits) contains 22 as substring.

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 = 42781162986 and 42781163004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 44240637 + ... + 44241603.

It is an arithmetic number, because the mean of its divisors is an integer number (173804400).

Almost surely, 2^42781163040 is an apocalyptic number.

42781163040 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 42781163040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100111334400).

42781163040 is an abundant number, since it is smaller than the sum of its proper divisors (157441505760).

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

42781163040 is a wasteful number, since it uses less digits than its factorization.

42781163040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 42781163040 in words is "forty-two billion, seven hundred eighty-one million, one hundred sixty-three thousand, forty".