4214520240 has 320 divisors, whose sum is σ = 15350446080. Its totient is φ = 936714240.

The previous prime is 4214520217. The next prime is 4214520263. The reversal of 4214520240 is 420254124.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4214520217) and next prime (4214520263).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4214520240.

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, 10615722 + ... + 10616118.

It is an arithmetic number, because the mean of its divisors is an integer number (47970144).

Almost surely, 2^4214520240 is an apocalyptic number.

4214520240 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 4214520240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7675223040).

4214520240 is an abundant number, since it is smaller than the sum of its proper divisors (11135925840).

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

4214520240 is a wasteful number, since it uses less digits than its factorization.

4214520240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 4214520240 is about 64919.3364106566. The cubic root of 4214520240 is about 1615.2858226273.

Adding to 4214520240 its reverse (420254124), we get a palindrome (4634774364).

The spelling of 4214520240 in words is "four billion, two hundred fourteen million, five hundred twenty thousand, two hundred forty".