40849776 has 240 divisors, whose sum is σ = 138928608. Its totient is φ = 11059200.

The previous prime is 40849763. The next prime is 40849789. The reversal of 40849776 is 67794804.

40849776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40849763) and next prime (40849789).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 996316 + ... + 996356.

Almost surely, 2^40849776 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 40849776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69464304).

40849776 is an abundant number, since it is smaller than the sum of its proper divisors (98078832).

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

40849776 is a wasteful number, since it uses less digits than its factorization.

40849776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 40849776 is about 6391.3829489399. The cubic root of 40849776 is about 344.4000663680.

The spelling of 40849776 in words is "forty million, eight hundred forty-nine thousand, seven hundred seventy-six".