1414493610075 has 720 divisors, whose sum is σ = 3511022423040. Its totient is φ = 549077667840.

The previous prime is 1414493610067. The next prime is 1414493610107. The reversal of 1414493610075 is 5700163944141.

1414493610075 is a `hidden beast` number, since 1 + 4 + 1 + 449 + 36 + 100 + 75 = 666.

It is not a de Polignac number, because 1414493610075 - 2³ = 1414493610067 is a prime.

It is a super-2 number, since 2×1414493610075² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1414493610075.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 1914064056 + ... + 1914064794.

It is an arithmetic number, because the mean of its divisors is an integer number (4876420032).

Almost surely, 2^{1414493610075} is an apocalyptic number.

1414493610075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1414493610075 is an abundant number, since it is smaller than the sum of its proper divisors (2096528812965).

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

1414493610075 is a wasteful number, since it uses less digits than its factorization.

1414493610075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 1414493610075 in words is "one trillion, four hundred fourteen billion, four hundred ninety-three million, six hundred ten thousand, seventy-five".