40627776 has 224 divisors, whose sum is σ = 135900160. Its totient is φ = 10450944.

The previous prime is 40627759. The next prime is 40627777. The reversal of 40627776 is 67772604.

It is a happy number.

40627776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (40627777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 944811 + ... + 944853.

Almost surely, 2^40627776 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 40627776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67950080).

40627776 is an abundant number, since it is smaller than the sum of its proper divisors (95272384).

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

40627776 is a wasteful number, since it uses less digits than its factorization.

40627776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 39.

The square root of 40627776 is about 6373.9921556274. The cubic root of 40627776 is about 343.7750467259.

It can be divided in two parts, 406 and 27776, that added together give a palindrome (28182).

The spelling of 40627776 in words is "forty million, six hundred twenty-seven thousand, seven hundred seventy-six".