1414110150160 has 80 divisors (see below), whose sum is σ = 3337037259696. Its totient is φ = 557193682944.

The previous prime is 1414110150137. The next prime is 1414110150181. The reversal of 1414110150160 is 610510114141.

It can be written as a sum of positive squares in 8 ways, for example, as 1511343376 + 1412598806784 = 38876^2 + 1188528^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 4502572 + ... + 4806388.

Almost surely, 2^{1414110150160} is an apocalyptic number.

1414110150160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1414110150160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668518629848).

1414110150160 is an abundant number, since it is smaller than the sum of its proper divisors (1922927109536).

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

1414110150160 is a wasteful number, since it uses less digits than its factorization.

1414110150160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304700 (or 304694 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 25.

The spelling of 1414110150160 in words is "one trillion, four hundred fourteen billion, one hundred ten million, one hundred fifty thousand, one hundred sixty".