424221450240 has 896 divisors, whose sum is σ = 1661446950912. Its totient is φ = 90313850880.

The previous prime is 424221450187. The next prime is 424221450253. The reversal of 424221450240 is 42054122424.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 424221450198 and 424221450207.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 811130619 + ... + 811131141.

It is an arithmetic number, because the mean of its divisors is an integer number (1854293472).

Almost surely, 2^424221450240 is an apocalyptic number.

424221450240 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 424221450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830723475456).

424221450240 is an abundant number, since it is smaller than the sum of its proper divisors (1237225500672).

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

424221450240 is a wasteful number, since it uses less digits than its factorization.

424221450240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

Adding to 424221450240 its reverse (42054122424), we get a palindrome (466275572664).

The spelling of 424221450240 in words is "four hundred twenty-four billion, two hundred twenty-one million, four hundred fifty thousand, two hundred forty".