40404768 has 48 divisors (see below), whose sum is σ = 107180640. Its totient is φ = 13326336.

The previous prime is 40404757. The next prime is 40404779. The reversal of 40404768 is 86740404.

It is an interprime number because it is at equal distance from previous prime (40404757) and next prime (40404779).

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7143 + ... + 11481.

It is an arithmetic number, because the mean of its divisors is an integer number (2232930).

Almost surely, 2^40404768 is an apocalyptic number.

40404768 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 40404768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53590320).

40404768 is an abundant number, since it is smaller than the sum of its proper divisors (66775872).

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

40404768 is a wasteful number, since it uses less digits than its factorization.

40404768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4449 (or 4441 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 40404768 is about 6356.4744945606. The cubic root of 40404768 is about 343.1448925597.

The spelling of 40404768 in words is "forty million, four hundred four thousand, seven hundred sixty-eight".