441080640 has 1120 divisors, whose sum is σ = 2230550784. Its totient is φ = 79626240.

The previous prime is 441080597. The next prime is 441080671. The reversal of 441080640 is 46080144.

441080640 is a `hidden beast` number, since 4 + 4 + 10 + 8 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 25945912 + ... + 25945928.

Almost surely, 2^441080640 is an apocalyptic number.

441080640 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 441080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115275392).

441080640 is an abundant number, since it is smaller than the sum of its proper divisors (1789470144).

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

441080640 is a wasteful number, since it uses less digits than its factorization.

441080640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 441080640 is about 21001.9199122366. The cubic root of 441080640 is about 761.2126531703.

The spelling of 441080640 in words is "four hundred forty-one million, eighty thousand, six hundred forty".