40447680 has 224 divisors, whose sum is σ = 158398464. Its totient is φ = 8515584.

The previous prime is 40447657. The next prime is 40447681. The reversal of 40447680 is 8674404.

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

It is not an unprimeable number, because it can be changed into a prime (40447681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87129 + ... + 87591.

It is an arithmetic number, because the mean of its divisors is an integer number (707136).

Almost surely, 2^40447680 is an apocalyptic number.

40447680 is a gapful number since it is divisible by the number (40) 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 40447680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79199232).

40447680 is an abundant number, since it is smaller than the sum of its proper divisors (117950784).

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

40447680 is a wasteful number, since it uses less digits than its factorization.

40447680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 493 counting only the distinct ones).

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

The square root of 40447680 is about 6359.8490548125. The cubic root of 40447680 is about 343.2663289191.

It can be divided in two parts, 404 and 47680, that added together give a palindrome (48084).

The spelling of 40447680 in words is "forty million, four hundred forty-seven thousand, six hundred eighty".