40411680 has 48 divisors (see below), whose sum is σ = 127298304. Its totient is φ = 10776320.

The previous prime is 40411673. The next prime is 40411697. The reversal of 40411680 is 8611404.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 40411680.

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, 41616 + ... + 42575.

It is an arithmetic number, because the mean of its divisors is an integer number (2652048).

Almost surely, 2^40411680 is an apocalyptic number.

40411680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40411680 is an abundant number, since it is smaller than the sum of its proper divisors (86886624).

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

40411680 is a wasteful number, since it uses less digits than its factorization.

40411680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84209 (or 84201 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 40411680 is about 6357.0181689217. The cubic root of 40411680 is about 343.1644585861.

The spelling of 40411680 in words is "forty million, four hundred eleven thousand, six hundred eighty".