4040064000 has 704 divisors, whose sum is σ = 17167288320. Its totient is φ = 917913600.

The previous prime is 4040063959. The next prime is 4040064013. The reversal of 4040064000 is 4600404.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24191917 + ... + 24192083.

Almost surely, 2^4040064000 is an apocalyptic number.

4040064000 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 4040064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8583644160).

4040064000 is an abundant number, since it is smaller than the sum of its proper divisors (13127224320).

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

4040064000 is a wasteful number, since it uses less digits than its factorization.

4040064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4040064000 is about 63561.4977797094. The cubic root of 4040064000 is about 1592.6832584777.

Adding to 4040064000 its reverse (4600404), we get a palindrome (4044664404).

The spelling of 4040064000 in words is "four billion, forty million, sixty-four thousand", and thus it is an eban number.