4140112431120 has 160 divisors (see below), whose sum is σ = 13679307682560. Its totient is φ = 1032205516800.

The previous prime is 4140112431113. The next prime is 4140112431121. The reversal of 4140112431120 is 211342110414.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (4140112431121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2743965 + ... + 3976124.

It is an arithmetic number, because the mean of its divisors is an integer number (85495673016).

Almost surely, 2^{4140112431120} is an apocalyptic number.

4140112431120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4140112431120 is an abundant number, since it is smaller than the sum of its proper divisors (9539195251440).

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

4140112431120 is a wasteful number, since it uses less digits than its factorization.

4140112431120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6720273 (or 6720267 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 4140112431120 its reverse (211342110414), we get a palindrome (4351454541534).

The spelling of 4140112431120 in words is "four trillion, one hundred forty billion, one hundred twelve million, four hundred thirty-one thousand, one hundred twenty".