4221340040 has 64 divisors (see below), whose sum is σ = 10071734400. Its totient is φ = 1586838528.

The previous prime is 4221340031. The next prime is 4221340051. The reversal of 4221340040 is 400431224.

4221340040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4221339994 and 4221340021.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 490091 + ... + 498629.

It is an arithmetic number, because the mean of its divisors is an integer number (157370850).

Almost surely, 2^4221340040 is an apocalyptic number.

4221340040 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 4221340040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5035867200).

4221340040 is an abundant number, since it is smaller than the sum of its proper divisors (5850394360).

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

4221340040 is a wasteful number, since it uses less digits than its factorization.

4221340040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9294 (or 9290 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4221340040 is about 64971.8403618060. The cubic root of 4221340040 is about 1616.1566208116.

Adding to 4221340040 its reverse (400431224), we get a palindrome (4621771264).

The spelling of 4221340040 in words is "four billion, two hundred twenty-one million, three hundred forty thousand, forty".