1414381509072 has 100 divisors (see below), whose sum is σ = 4678434810016. Its totient is φ = 404109000000.

The previous prime is 1414381509071. The next prime is 1414381509119. The reversal of 1414381509072 is 2709051834141.

1414381509072 is a `hidden beast` number, since 1 + 41 + 4 + 38 + 1 + 509 + 0 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1414381509071) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 77944054 + ... + 77962197.

Almost surely, 2^{1414381509072} is an apocalyptic number.

1414381509072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1414381509072 is an abundant number, since it is smaller than the sum of its proper divisors (3264053300944).

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

1414381509072 is a wasteful number, since it uses less digits than its factorization.

1414381509072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155906278 (or 155906263 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 1414381509072 in words is "one trillion, four hundred fourteen billion, three hundred eighty-one million, five hundred nine thousand, seventy-two".