4040307000 has 256 divisors, whose sum is σ = 14113382400. Its totient is φ = 1069200000.

The previous prime is 4040306981. The next prime is 4040307017. The reversal of 4040307000 is 7030404.

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

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, 4076505 + ... + 4077495.

It is an arithmetic number, because the mean of its divisors is an integer number (55130400).

Almost surely, 2^4040307000 is an apocalyptic number.

4040307000 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 4040307000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7056691200).

4040307000 is an abundant number, since it is smaller than the sum of its proper divisors (10073075400).

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

4040307000 is a wasteful number, since it uses less digits than its factorization.

4040307000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 4040307000 is about 63563.4092855316. The cubic root of 4040307000 is about 1592.7151898425.

Adding to 4040307000 its reverse (7030404), we get a palindrome (4047337404).

The spelling of 4040307000 in words is "four billion, forty million, three hundred seven thousand".