10402011180 has 144 divisors (see below), whose sum is σ = 34453115424. Its totient is φ = 2519362560.

The previous prime is 10402011143. The next prime is 10402011181. The reversal of 10402011180 is 8111020401.

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

It is not an unprimeable number, because it can be changed into a prime (10402011181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3192112 + ... + 3195368.

It is an arithmetic number, because the mean of its divisors is an integer number (239257746).

Almost surely, 2^10402011180 is an apocalyptic number.

10402011180 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 10402011180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17226557712).

10402011180 is an abundant number, since it is smaller than the sum of its proper divisors (24051104244).

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

10402011180 is a wasteful number, since it uses less digits than its factorization.

10402011180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4896 (or 4891 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10402011180 its reverse (8111020401), we get a palindrome (18513031581).

The spelling of 10402011180 in words is "ten billion, four hundred two million, eleven thousand, one hundred eighty".