1414120616352 has 72 divisors (see below), whose sum is σ = 4081426536096. Its totient is φ = 464338106496.

The previous prime is 1414120616351. The next prime is 1414120616353. The reversal of 1414120616352 is 2536160214141.

1414120616352 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 1 + 2 + 0 + 616 + 35 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1414120616351) and next prime (1414120616353).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1414120616351) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36623548 + ... + 36662139.

It is an arithmetic number, because the mean of its divisors is an integer number (56686479668).

Almost surely, 2^{1414120616352} is an apocalyptic number.

1414120616352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1414120616352 is an abundant number, since it is smaller than the sum of its proper divisors (2667305919744).

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

1414120616352 is a wasteful number, since it uses less digits than its factorization.

1414120616352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73285770 (or 73285759 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 1414120616352 in words is "one trillion, four hundred fourteen billion, one hundred twenty million, six hundred sixteen thousand, three hundred fifty-two".