1414306832928 has 192 divisors, whose sum is σ = 4392894280320. Its totient is φ = 393528934400.

The previous prime is 1414306832923. The next prime is 1414306832929. The reversal of 1414306832928 is 8292386034141.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (1414306832923) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224733 + ... + 1696796.

It is an arithmetic number, because the mean of its divisors is an integer number (22879657710).

Almost surely, 2^{1414306832928} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1414306832928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2196447140160).

1414306832928 is an abundant number, since it is smaller than the sum of its proper divisors (2978587447392).

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

1414306832928 is a wasteful number, since it uses less digits than its factorization.

1414306832928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1921611 (or 1921603 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The spelling of 1414306832928 in words is "one trillion, four hundred fourteen billion, three hundred six million, eight hundred thirty-two thousand, nine hundred twenty-eight".