10114043940 has 972 divisors, whose sum is σ = 43867517148. Its totient is φ = 1939956480.

The previous prime is 10114043923. The next prime is 10114043941. The reversal of 10114043940 is 4934041101.

It can be written as a sum of positive squares in 2 ways, for example, as 2489610816 + 7624433124 = 49896^2 + 87318^2 .

It is a tau number, because it is divible by the number of its divisors (972).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10114043941) by changing a digit.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 778003374 + ... + 778003386.

Almost surely, 2^10114043940 is an apocalyptic number.

10114043940 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 10114043940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21933758574).

10114043940 is an abundant number, since it is smaller than the sum of its proper divisors (33753473208).

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

10114043940 is a wasteful number, since it uses less digits than its factorization.

10114043940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

It can be divided in two parts, 101 and 14043940, that added together give a palindrome (14044041).

The spelling of 10114043940 in words is "ten billion, one hundred fourteen million, forty-three thousand, nine hundred forty".