4220587040 has 192 divisors, whose sum is σ = 10893657600. Its totient is φ = 1539772416.

The previous prime is 4220587037. The next prime is 4220587043. The reversal of 4220587040 is 407850224.

It is an interprime number because it is at equal distance from previous prime (4220587037) and next prime (4220587043).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 4220586988 and 4220587006.

It is not an unprimeable number, because it can be changed into a prime (4220587043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17659241 + ... + 17659479.

It is an arithmetic number, because the mean of its divisors is an integer number (56737800).

Almost surely, 2^4220587040 is an apocalyptic number.

4220587040 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 4220587040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5446828800).

4220587040 is an abundant number, since it is smaller than the sum of its proper divisors (6673070560).

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

4220587040 is a wasteful number, since it uses less digits than its factorization.

4220587040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 32.

The square root of 4220587040 is about 64966.0452852103. The cubic root of 4220587040 is about 1616.0605187609.

The spelling of 4220587040 in words is "four billion, two hundred twenty million, five hundred eighty-seven thousand, forty".