4101540000 has 240 divisors, whose sum is σ = 13561134048. Its totient is φ = 1085056000.

The previous prime is 4101539987. The next prime is 4101540011. The reversal of 4101540000 is 451014.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11819827 + ... + 11820173.

Almost surely, 2^4101540000 is an apocalyptic number.

4101540000 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 4101540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6780567024).

4101540000 is an abundant number, since it is smaller than the sum of its proper divisors (9459594048).

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

4101540000 is a wasteful number, since it uses less digits than its factorization.

4101540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 4101540000 is about 64043.2666249935. The cubic root of 4101540000 is about 1600.7210291909.

Adding to 4101540000 its reverse (451014), we get a palindrome (4101991014).

The spelling of 4101540000 in words is "four billion, one hundred one million, five hundred forty thousand".