1416512344401 has 96 divisors (see below), whose sum is σ = 2801042270208. Its totient is φ = 692565085440.

The previous prime is 1416512344381. The next prime is 1416512344433. The reversal of 1416512344401 is 1044432156141.

1416512344401 is a `hidden beast` number, since 1 + 4 + 16 + 5 + 1 + 234 + 4 + 401 = 666.

It is not a de Polignac number, because 1416512344401 - 2⁵ = 1416512344369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1416512344441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1908525 + ... + 2544698.

It is an arithmetic number, because the mean of its divisors is an integer number (29177523648).

Almost surely, 2^{1416512344401} is an apocalyptic number.

1416512344401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1416512344401 is a deficient number, since it is larger than the sum of its proper divisors (1384529925807).

1416512344401 is a wasteful number, since it uses less digits than its factorization.

1416512344401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4453273 (or 4453261 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 1416512344401 in words is "one trillion, four hundred sixteen billion, five hundred twelve million, three hundred forty-four thousand, four hundred one".