4220087040 has 720 divisors, whose sum is σ = 16952576256. Its totient is φ = 995328000.

The previous prime is 4220087033. The next prime is 4220087087. The reversal of 4220087040 is 407800224.

It is a tau number, because it is divible by the number of its divisors (720).

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 = 4220086995 and 4220087013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 41782990 + ... + 41783090.

Almost surely, 2^4220087040 is an apocalyptic number.

4220087040 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 4220087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8476288128).

4220087040 is an abundant number, since it is smaller than the sum of its proper divisors (12732489216).

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

4220087040 is a wasteful number, since it uses less digits than its factorization.

4220087040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 4220087040 is about 64962.1970071826. The cubic root of 4220087040 is about 1615.9966996632.

Adding to 4220087040 its reverse (407800224), we get a palindrome (4627887264).

The spelling of 4220087040 in words is "four billion, two hundred twenty million, eighty-seven thousand, forty".