4140106130040 has 64 divisors (see below), whose sum is σ = 12460775564160. Its totient is φ = 1100432108160.

The previous prime is 4140106130029. The next prime is 4140106130051. The reversal of 4140106130040 is 400316010414.

4140106130040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4140106130029) and next prime (4140106130051).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 56153526 + ... + 56227205.

It is an arithmetic number, because the mean of its divisors is an integer number (194699618190).

Almost surely, 2^{4140106130040} is an apocalyptic number.

4140106130040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4140106130040 is an abundant number, since it is smaller than the sum of its proper divisors (8320669434120).

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

4140106130040 is a wasteful number, since it uses less digits than its factorization.

4140106130040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112381052 (or 112381048 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 4140106130040 in words is "four trillion, one hundred forty billion, one hundred six million, one hundred thirty thousand, forty".