40112105415000 has 160 divisors (see below), whose sum is σ = 125904114536640. Its totient is φ = 10645866000000.

The previous prime is 40112105414993. The next prime is 40112105415007. The reversal of 40112105415000 is 51450121104.

40112105415000 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 (40112105414993) and next prime (40112105415007).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40112105415007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3171826 + ... + 9501825.

It is an arithmetic number, because the mean of its divisors is an integer number (786900715854).

Almost surely, 2^{40112105415000} is an apocalyptic number.

40112105415000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40112105415000 is an abundant number, since it is smaller than the sum of its proper divisors (85792009121640).

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

40112105415000 is a wasteful number, since it uses less digits than its factorization.

40112105415000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12673891 (or 12673872 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

Adding to 40112105415000 its reverse (51450121104), we get a palindrome (40163555536104).

The spelling of 40112105415000 in words is "forty trillion, one hundred twelve billion, one hundred five million, four hundred fifteen thousand".