6101135040 has 672 divisors, whose sum is σ = 26502384384. Its totient is φ = 1168957440.

The previous prime is 6101134993. The next prime is 6101135041. The reversal of 6101135040 is 405311016.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 6101134998 and 6101135016.

It is not an unprimeable number, because it can be changed into a prime (6101135041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6726267 + ... + 6727173.

It is an arithmetic number, because the mean of its divisors is an integer number (39438072).

Almost surely, 2^6101135040 is an apocalyptic number.

6101135040 is a gapful number since it is divisible by the number (60) 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 6101135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13251192192).

6101135040 is an abundant number, since it is smaller than the sum of its proper divisors (20401249344).

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

6101135040 is a wasteful number, since it uses less digits than its factorization.

6101135040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 6101135040 is about 78109.7627700917. The cubic root of 6101135040 is about 1827.2734576954.

Adding to 6101135040 its reverse (405311016), we get a palindrome (6506446056).

It can be divided in two parts, 6101 and 135040, that added together give a palindrome (141141).

The spelling of 6101135040 in words is "six billion, one hundred one million, one hundred thirty-five thousand, forty".