40779648 has 192 divisors, whose sum is σ = 144799200. Its totient is φ = 10727424.

The previous prime is 40779647. The next prime is 40779649. The reversal of 40779648 is 84697704.

40779648 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 (40779647) and next prime (40779649).

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40779647) 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 23 ways as a sum of consecutive naturals, for example, 104638 + ... + 105026.

Almost surely, 2^40779648 is an apocalyptic number.

40779648 is a gapful number since it is divisible by the number (48) 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 40779648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72399600).

40779648 is an abundant number, since it is smaller than the sum of its proper divisors (104019552).

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

40779648 is a wasteful number, since it uses less digits than its factorization.

40779648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 414 counting only the distinct ones).

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

The square root of 40779648 is about 6385.8944557517. The cubic root of 40779648 is about 344.2028729414.

The spelling of 40779648 in words is "forty million, seven hundred seventy-nine thousand, six hundred forty-eight".