1451004131712 has 128 divisors (see below), whose sum is σ = 3935834179200. Its totient is φ = 473495592960.

The previous prime is 1451004131701. The next prime is 1451004131729. The reversal of 1451004131712 is 2171314001541.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 1451004131712.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5327223 + ... + 5592969.

It is an arithmetic number, because the mean of its divisors is an integer number (30748704525).

Almost surely, 2^{1451004131712} is an apocalyptic number.

1451004131712 is a gapful number since it is divisible by the number (12) 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 1451004131712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1967917089600).

1451004131712 is an abundant number, since it is smaller than the sum of its proper divisors (2484830047488).

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

1451004131712 is a wasteful number, since it uses less digits than its factorization.

1451004131712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266064 (or 266052 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The spelling of 1451004131712 in words is "one trillion, four hundred fifty-one billion, four million, one hundred thirty-one thousand, seven hundred twelve".