40782867840 has 768 divisors, whose sum is σ = 168145286400. Its totient is φ = 8977858560.

The previous prime is 40782867833. The next prime is 40782867857. The reversal of 40782867840 is 4876828704.

It is a happy number.

40782867840 is a `hidden beast` number, since 407 + 82 + 86 + 7 + 84 + 0 = 666.

40782867840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55186191 + ... + 55186929.

It is an arithmetic number, because the mean of its divisors is an integer number (218939175).

Almost surely, 2^40782867840 is an apocalyptic number.

40782867840 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 40782867840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84072643200).

40782867840 is an abundant number, since it is smaller than the sum of its proper divisors (127362418560).

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

40782867840 is a wasteful number, since it uses less digits than its factorization.

40782867840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 40782867840 in words is "forty billion, seven hundred eighty-two million, eight hundred sixty-seven thousand, eight hundred forty".