2014400041000 has 64 divisors (see below), whose sum is σ = 4713981480000. Its totient is φ = 805711233600.

The previous prime is 2014400040959. The next prime is 2014400041007. The reversal of 2014400041000 is 1400044102.

It is not an unprimeable number, because it can be changed into a prime (2014400041007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19647871 + ... + 19750129.

It is an arithmetic number, because the mean of its divisors is an integer number (73655960625).

Almost surely, 2^{2014400041000} is an apocalyptic number.

2014400041000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2014400041000 is an abundant number, since it is smaller than the sum of its proper divisors (2699581439000).

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

2014400041000 is a wasteful number, since it uses less digits than its factorization.

2014400041000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121979 (or 121965 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2014400041000 its reverse (1400044102), we get a palindrome (2015800085102).

The spelling of 2014400041000 in words is "two trillion, fourteen billion, four hundred million, forty-one thousand".