424480573440 has 1536 divisors, whose sum is σ = 1908110131200. Its totient is φ = 86951854080.

The previous prime is 424480573403. The next prime is 424480573453. The reversal of 424480573440 is 44375084424.

424480573440 is a `hidden beast` number, since 42 + 44 + 80 + 57 + 3 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2703697842 + ... + 2703697998.

It is an arithmetic number, because the mean of its divisors is an integer number (1242259200).

Almost surely, 2^424480573440 is an apocalyptic number.

424480573440 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 424480573440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954055065600).

424480573440 is an abundant number, since it is smaller than the sum of its proper divisors (1483629557760).

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

424480573440 is a wasteful number, since it uses less digits than its factorization.

424480573440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 45.

The spelling of 424480573440 in words is "four hundred twenty-four billion, four hundred eighty million, five hundred seventy-three thousand, four hundred forty".