4027199040 has 224 divisors, whose sum is σ = 14255861760. Its totient is φ = 1070235648.

The previous prime is 4027198997. The next prime is 4027199041. The reversal of 4027199040 is 409917204.

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 = 4027198986 and 4027199004.

It is not an unprimeable number, because it can be changed into a prime (4027199041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3308512 + ... + 3309728.

It is an arithmetic number, because the mean of its divisors is an integer number (63642240).

Almost surely, 2^4027199040 is an apocalyptic number.

4027199040 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 4027199040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7127930880).

4027199040 is an abundant number, since it is smaller than the sum of its proper divisors (10228662720).

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

4027199040 is a wasteful number, since it uses less digits than its factorization.

4027199040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 4027199040 is about 63460.2161988123. The cubic root of 4027199040 is about 1590.9909095573.

The spelling of 4027199040 in words is "four billion, twenty-seven million, one hundred ninety-nine thousand, forty".