4220735040 has 448 divisors, whose sum is σ = 15576011520. Its totient is φ = 1088391168.

The previous prime is 4220735017. The next prime is 4220735041. The reversal of 4220735040 is 405370224.

4220735040 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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 4220734995 and 4220735013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4220735041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25893999 + ... + 25894161.

Almost surely, 2^4220735040 is an apocalyptic number.

4220735040 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 4220735040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7788005760).

4220735040 is an abundant number, since it is smaller than the sum of its proper divisors (11355276480).

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

4220735040 is an equidigital number, since it uses as much as digits as its factorization.

4220735040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 4220735040 is about 64967.1843317840. The cubic root of 4220735040 is about 1616.0794082470.

The spelling of 4220735040 in words is "four billion, two hundred twenty million, seven hundred thirty-five thousand, forty".