1414433678004 has 72 divisors (see below), whose sum is σ = 3616463639880. Its totient is φ = 466062170112.

The previous prime is 1414433677997. The next prime is 1414433678023. The reversal of 1414433678004 is 4008763344141.

1414433678004 is a `hidden beast` number, since 141 + 4 + 433 + 6 + 78 + 0 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9383796900 + 1405049881104 = 96870^2 + 1185348^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13060044 + ... + 13167900.

It is an arithmetic number, because the mean of its divisors is an integer number (50228661665).

Almost surely, 2^{1414433678004} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1414433678004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808231819940).

1414433678004 is an abundant number, since it is smaller than the sum of its proper divisors (2202029961876).

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

1414433678004 is a wasteful number, since it uses less digits than its factorization.

1414433678004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112049 (or 112044 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 1414433678004 in words is "one trillion, four hundred fourteen billion, four hundred thirty-three million, six hundred seventy-eight thousand, four".