440298420480 has 108 divisors (see below), whose sum is σ = 1523386710300. Its totient is φ = 117412909056.

The previous prime is 440298420461. The next prime is 440298420481. The reversal of 440298420480 is 84024892044.

440298420480 is a `hidden beast` number, since 4 + 40 + 2 + 98 + 42 + 0 + 480 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 70790052096 + 369508368384 = 266064^2 + 607872^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (440298420481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19098655 + ... + 19121694.

Almost surely, 2^440298420480 is an apocalyptic number.

440298420480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

440298420480 is an abundant number, since it is smaller than the sum of its proper divisors (1083088289820).

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

440298420480 is a wasteful number, since it uses less digits than its factorization.

440298420480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38220376 (or 38220359 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 440298420480 in words is "four hundred forty billion, two hundred ninety-eight million, four hundred twenty thousand, four hundred eighty".