10112072040 has 192 divisors, whose sum is σ = 37596873600. Its totient is φ = 2309008896.

The previous prime is 10112072029. The next prime is 10112072041. The reversal of 10112072040 is 4027021101.

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 (10112072041) 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 47 ways as a sum of consecutive naturals, for example, 4507159 + ... + 4509401.

It is an arithmetic number, because the mean of its divisors is an integer number (195817050).

Almost surely, 2^10112072040 is an apocalyptic number.

10112072040 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 10112072040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18798436800).

10112072040 is an abundant number, since it is smaller than the sum of its proper divisors (27484801560).

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

10112072040 is a wasteful number, since it uses less digits than its factorization.

10112072040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4056 (or 4049 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

Adding to 10112072040 its reverse (4027021101), we get a palindrome (14139093141).

The spelling of 10112072040 in words is "ten billion, one hundred twelve million, seventy-two thousand, forty".