40782893005824 has 176 divisors, whose sum is σ = 110295158330880. Its totient is φ = 13395183943680.

The previous prime is 40782893005763. The next prime is 40782893005861. The reversal of 40782893005824 is 42850039828704.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 388841262 + ... + 388946130.

Almost surely, 2^{40782893005824} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40782893005824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55147579165440).

40782893005824 is an abundant number, since it is smaller than the sum of its proper divisors (69512265325056).

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

40782893005824 is a wasteful number, since it uses less digits than its factorization.

40782893005824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106746 (or 106728 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 60.

The spelling of 40782893005824 in words is "forty trillion, seven hundred eighty-two billion, eight hundred ninety-three million, five thousand, eight hundred twenty-four".