4041466440 has 256 divisors, whose sum is σ = 14743296000. Its totient is φ = 873492480.

The previous prime is 4041466439. The next prime is 4041466441. The reversal of 4041466440 is 446641404.

It is an interprime number because it is at equal distance from previous prime (4041466439) and next prime (4041466441).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (4041466441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 421621 + ... + 431099.

It is an arithmetic number, because the mean of its divisors is an integer number (57591000).

Almost surely, 2^4041466440 is an apocalyptic number.

4041466440 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 4041466440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7371648000).

4041466440 is an abundant number, since it is smaller than the sum of its proper divisors (10701829560).

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

4041466440 is a wasteful number, since it uses less digits than its factorization.

4041466440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9540 (or 9536 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 4041466440 is about 63572.5289728197. The cubic root of 4041466440 is about 1592.8675281907.

The spelling of 4041466440 in words is "four billion, forty-one million, four hundred sixty-six thousand, four hundred forty".