4041420064 has 192 divisors, whose sum is σ = 9510359040. Its totient is φ = 1670123520.

The previous prime is 4041420037. The next prime is 4041420107. The reversal of 4041420064 is 4600241404.

It is a super-2 number, since 2×4041420064² = 32666152267403528192, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39237037 + ... + 39237139.

It is an arithmetic number, because the mean of its divisors is an integer number (49533120).

Almost surely, 2^4041420064 is an apocalyptic number.

4041420064 is a gapful number since it is divisible by the number (44) 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 4041420064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4755179520).

4041420064 is an abundant number, since it is smaller than the sum of its proper divisors (5468938976).

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

4041420064 is a wasteful number, since it uses less digits than its factorization.

4041420064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 4041420064 is about 63572.1642230308. The cubic root of 4041420064 is about 1592.8614354264.

Adding to 4041420064 its reverse (4600241404), we get a palindrome (8641661468).

The spelling of 4041420064 in words is "four billion, forty-one million, four hundred twenty thousand, sixty-four".