4011040000 has 360 divisors, whose sum is σ = 11378882592. Its totient is φ = 1397760000.

The previous prime is 4011039913. The next prime is 4011040057. The reversal of 4011040000 is 401104.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 75679974 + ... + 75680026.

Almost surely, 2^4011040000 is an apocalyptic number.

4011040000 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 4011040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5689441296).

4011040000 is an abundant number, since it is smaller than the sum of its proper divisors (7367842592).

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

4011040000 is an equidigital number, since it uses as much as digits as its factorization.

4011040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 4011040000 is about 63332.7719273363. The cubic root of 4011040000 is about 1588.8601194161.

Adding to 4011040000 its reverse (401104), we get a palindrome (4011441104).

4011040000 divided by its reverse (401104) gives a 4-th power (10000 = 10⁴).

It can be divided in two parts, 401 and 1040000, that added together give a palindrome (1040401).

The spelling of 4011040000 in words is "four billion, eleven million, forty thousand".