40782434784 has 768 divisors, whose sum is σ = 149361408000. Its totient is φ = 9427746816.

The previous prime is 40782434773. The next prime is 40782434821. The reversal of 40782434784 is 48743428704.

40782434784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40782434784² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 273707542 + ... + 273707690.

It is an arithmetic number, because the mean of its divisors is an integer number (194481000).

Almost surely, 2^40782434784 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 40782434784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74680704000).

40782434784 is an abundant number, since it is smaller than the sum of its proper divisors (108578973216).

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

40782434784 is a wasteful number, since it uses less digits than its factorization.

40782434784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 51.

The spelling of 40782434784 in words is "forty billion, seven hundred eighty-two million, four hundred thirty-four thousand, seven hundred eighty-four".