4228187040 has 960 divisors, whose sum is σ = 19670999040. Its totient is φ = 828610560.

The previous prime is 4228187039. The next prime is 4228187077. The reversal of 4228187040 is 407818224.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4228186986 and 4228187004.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 18960369 + ... + 18960591.

It is an arithmetic number, because the mean of its divisors is an integer number (20490624).

Almost surely, 2^4228187040 is an apocalyptic number.

4228187040 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 4228187040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9835499520).

4228187040 is an abundant number, since it is smaller than the sum of its proper divisors (15442812000).

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

4228187040 is a wasteful number, since it uses less digits than its factorization.

4228187040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 4228187040 is about 65024.5110708262. The cubic root of 4228187040 is about 1617.0299490875.

The spelling of 4228187040 in words is "four billion, two hundred twenty-eight million, one hundred eighty-seven thousand, forty".