440271040 has 224 divisors, whose sum is σ = 1250899200. Its totient is φ = 145797120.

The previous prime is 440271031. The next prime is 440271047. The reversal of 440271040 is 40172044.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (440271047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1939407 + ... + 1939633.

Almost surely, 2^440271040 is an apocalyptic number.

440271040 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 440271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625449600).

440271040 is an abundant number, since it is smaller than the sum of its proper divisors (810628160).

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

440271040 is a wasteful number, since it uses less digits than its factorization.

440271040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 22.

The square root of 440271040 is about 20982.6366312721. The cubic root of 440271040 is about 760.7466346765.

The spelling of 440271040 in words is "four hundred forty million, two hundred seventy-one thousand, forty".