40612783769856 has 243 divisors, whose sum is σ = 118336370856249. Its totient is φ = 13395761197056.

The previous prime is 40612783769849. The next prime is 40612783769891. The reversal of 40612783769856 is 65896738721604.

The square root of 40612783769856 is 6372816.

It is a perfect power (a square), and thus also a powerful number.

40612783769856 is a `hidden beast` number, since 40 + 6 + 12 + 78 + 376 + 98 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32947416320256 + 7665367449600 = 5739984^2 + 2768640^2 .

It is a super-4 number, since 4×40612783769856⁴ (a number of 56 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 31507201660 + ... + 31507202948.

It is a 1-persistent number, because it is pandigital, but 2⋅40612783769856 = 81225567539712 is not.

Almost surely, 2^{40612783769856} is an apocalyptic number.

40612783769856 is the 6372816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40612783769856

40612783769856 is an abundant number, since it is smaller than the sum of its proper divisors (77723587086393).

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

40612783769856 is an frugal number, since it uses more digits than its factorization.

40612783769856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2806 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 72.

The spelling of 40612783769856 in words is "forty trillion, six hundred twelve billion, seven hundred eighty-three million, seven hundred sixty-nine thousand, eight hundred fifty-six".