4041540000 has 180 divisors, whose sum is σ = 14362454106. Its totient is φ = 1077696000.

The previous prime is 4041539981. The next prime is 4041540023. The reversal of 4041540000 is 451404.

It can be written as a sum of positive squares in 5 ways, for example, as 55890576 + 3985649424 = 7476^2 + 63132^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 168774 + ... + 191226.

Almost surely, 2^4041540000 is an apocalyptic number.

4041540000 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 4041540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7181227053).

4041540000 is an abundant number, since it is smaller than the sum of its proper divisors (10320914106).

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

4041540000 is a wasteful number, since it uses less digits than its factorization.

4041540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22489 (or 22463 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 4041540000 is about 63573.1075219703. The cubic root of 4041540000 is about 1592.8771922261.

Adding to 4041540000 its reverse (451404), we get a palindrome (4041991404).

The spelling of 4041540000 in words is "four billion, forty-one million, five hundred forty thousand".