4031040000 has 800 divisors, whose sum is σ = 16107094080. Its totient is φ = 884736000.

The previous prime is 4031039989. The next prime is 4031040037. The reversal of 4031040000 is 401304.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 212159991 + ... + 212160009.

Almost surely, 2^4031040000 is an apocalyptic number.

4031040000 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 4031040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8053547040).

4031040000 is an abundant number, since it is smaller than the sum of its proper divisors (12076054080).

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

4031040000 is a wasteful number, since it uses less digits than its factorization.

4031040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 4031040000 is about 63490.4717260787. The cubic root of 4031040000 is about 1591.4965538554.

Adding to 4031040000 its reverse (401304), we get a palindrome (4031441304).

It can be divided in two parts, 403 and 1040000, that added together give a triangular number (1040403 = T₁₄₄₂).

The spelling of 4031040000 in words is "four billion, thirty-one million, forty thousand".