1414058976 has 144 divisors (see below), whose sum is σ = 4410806400. Its totient is φ = 426159360.

The previous prime is 1414058903. The next prime is 1414058977. The reversal of 1414058976 is 6798504141.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1414058977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 629311 + ... + 631553.

It is an arithmetic number, because the mean of its divisors is an integer number (30630600).

Almost surely, 2^1414058976 is an apocalyptic number.

1414058976 is a gapful number since it is divisible by the number (16) 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 1414058976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2205403200).

1414058976 is an abundant number, since it is smaller than the sum of its proper divisors (2996747424).

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

1414058976 is a wasteful number, since it uses less digits than its factorization.

1414058976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2469 (or 2458 counting only the distinct ones).

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

The square root of 1414058976 is about 37603.9755345096. The cubic root of 1414058976 is about 1122.4211483905.

The spelling of 1414058976 in words is "one billion, four hundred fourteen million, fifty-eight thousand, nine hundred seventy-six".