1414433000460 has 48 divisors (see below), whose sum is σ = 4096978351200. Its totient is φ = 364175852544.

The previous prime is 1414433000347. The next prime is 1414433000483. The reversal of 1414433000460 is 640003344141.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 406444525 + ... + 406448004.

It is an arithmetic number, because the mean of its divisors is an integer number (85353715650).

Almost surely, 2^{1414433000460} is an apocalyptic number.

1414433000460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1414433000460 is an abundant number, since it is smaller than the sum of its proper divisors (2682545350740).

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

1414433000460 is a wasteful number, since it uses less digits than its factorization.

1414433000460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812892570 (or 812892568 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 1414433000460 in words is "one trillion, four hundred fourteen billion, four hundred thirty-three million, four hundred sixty", and thus it is an aban number.