40412777728512 has 480 divisors, whose sum is σ = 131714596012032. Its totient is φ = 10957461774336.

The previous prime is 40412777728511. The next prime is 40412777728549. The reversal of 40412777728512 is 21582777721404.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (40412777728511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219754233 + ... + 219938055.

Almost surely, 2^{40412777728512} is an apocalyptic number.

40412777728512 is a gapful number since it is divisible by the number (42) 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 40412777728512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65857298006016).

40412777728512 is an abundant number, since it is smaller than the sum of its proper divisors (91301818283520).

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

40412777728512 is a wasteful number, since it uses less digits than its factorization.

40412777728512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184008 (or 183985 counting only the distinct ones).

The product of its (nonzero) digits is 12293120, while the sum is 57.

The spelling of 40412777728512 in words is "forty trillion, four hundred twelve billion, seven hundred seventy-seven million, seven hundred twenty-eight thousand, five hundred twelve".