440416474080 has 96 divisors (see below), whose sum is σ = 1513431174528. Its totient is φ = 106767628800.

The previous prime is 440416474079. The next prime is 440416474103. The reversal of 440416474080 is 80474614044.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41700826 + ... + 41711385.

It is an arithmetic number, because the mean of its divisors is an integer number (15764908068).

Almost surely, 2^440416474080 is an apocalyptic number.

440416474080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

440416474080 is an abundant number, since it is smaller than the sum of its proper divisors (1073014700448).

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

440416474080 is a wasteful number, since it uses less digits than its factorization.

440416474080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83412240 (or 83412232 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 42.

The spelling of 440416474080 in words is "four hundred forty billion, four hundred sixteen million, four hundred seventy-four thousand, eighty".