40752779760 has 480 divisors, whose sum is σ = 175252925952. Its totient is φ = 8238827520.

The previous prime is 40752779713. The next prime is 40752779789. The reversal of 40752779760 is 6797725704.

40752779760 is a `hidden beast` number, since 40 + 7 + 527 + 7 + 9 + 76 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 40752779697 and 40752779706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2041347 + ... + 2061213.

Almost surely, 2^40752779760 is an apocalyptic number.

40752779760 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 40752779760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87626462976).

40752779760 is an abundant number, since it is smaller than the sum of its proper divisors (134500146192).

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

40752779760 is a wasteful number, since it uses less digits than its factorization.

40752779760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19941 (or 19932 counting only the distinct ones).

The product of its (nonzero) digits is 5186160, while the sum is 54.

The spelling of 40752779760 in words is "forty billion, seven hundred fifty-two million, seven hundred seventy-nine thousand, seven hundred sixty".