4107227040 has 288 divisors, whose sum is σ = 16723143360. Its totient is φ = 938746368.

The previous prime is 4107227027. The next prime is 4107227083. The reversal of 4107227040 is 407227014.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-4 number, since 4×4107227040⁴ (a number of 40 digits) contains 4444 as substring.

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 = 4107226995 and 4107227013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 201979 + ... + 221381.

It is an arithmetic number, because the mean of its divisors is an integer number (58066470).

Almost surely, 2^4107227040 is an apocalyptic number.

4107227040 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 4107227040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8361571680).

4107227040 is an abundant number, since it is smaller than the sum of its proper divisors (12615916320).

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

4107227040 is a wasteful number, since it uses less digits than its factorization.

4107227040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19441 (or 19420 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 4107227040 is about 64087.6512286103. The cubic root of 4107227040 is about 1601.4605205608.

The spelling of 4107227040 in words is "four billion, one hundred seven million, two hundred twenty-seven thousand, forty".