10541440000 has 440 divisors, whose sum is σ = 32588043488. Its totient is φ = 3317760000.

The previous prime is 10541439977. The next prime is 10541440009. The reversal of 10541440000 is 4414501.

It is a super-2 number, since 2×10541440000² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10541440000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10541440009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 58239910 + ... + 58240090.

Almost surely, 2^10541440000 is an apocalyptic number.

10541440000 is a gapful number since it is divisible by the number (10) 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 10541440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16294021744).

10541440000 is an abundant number, since it is smaller than the sum of its proper divisors (22046603488).

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

10541440000 is an equidigital number, since it uses as much as digits as its factorization.

10541440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

Adding to 10541440000 its reverse (4414501), we get a palindrome (10545854501).

The spelling of 10541440000 in words is "ten billion, five hundred forty-one million, four hundred forty thousand".