40057776 has 150 divisors (see below), whose sum is σ = 129806300. Its totient is φ = 11499840.

The previous prime is 40057741. The next prime is 40057781. The reversal of 40057776 is 67775004.

40057776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 40057776.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 2108295 + ... + 2108313.

Almost surely, 2^40057776 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 40057776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64903150).

40057776 is an abundant number, since it is smaller than the sum of its proper divisors (89748524).

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

40057776 is a wasteful number, since it uses less digits than its factorization.

40057776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 40057776 is about 6329.1212660211. The cubic root of 40057776 is about 342.1597694048.

It can be divided in two parts, 4005 and 7776, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 40057776 in words is "forty million, fifty-seven thousand, seven hundred seventy-six".