10114140040 has 64 divisors (see below), whose sum is σ = 24016824000. Its totient is φ = 3822762240.

The previous prime is 10114140007. The next prime is 10114140119. The reversal of 10114140040 is 4004141101.

It is a junction number, because it is equal to n+sod(n) for n = 10114139996 and 10114140023.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 278535 + ... + 312745.

It is an arithmetic number, because the mean of its divisors is an integer number (375262875).

Almost surely, 2^10114140040 is an apocalyptic number.

10114140040 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 10114140040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12008412000).

10114140040 is an abundant number, since it is smaller than the sum of its proper divisors (13902683960).

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

10114140040 is a wasteful number, since it uses less digits than its factorization.

10114140040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34630 (or 34626 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10114140040 its reverse (4004141101), we get a palindrome (14118281141).

The spelling of 10114140040 in words is "ten billion, one hundred fourteen million, one hundred forty thousand, forty".